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Finding the Fourth Proportional to 190,852.40, 286,278.60 and 106,871.60

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Solution

The fourth proportional to 190,852.40, 286,278.60 and 106,871.60 is: 160,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,852.40 : 286,278.60 = 106,871.60 : x
  2. Step 2: Convert to fraction form
    190,852.40/286,278.60 = 106,871.60/x
  3. Step 3: Cross multiply
    190,852.40x = 286,278.60 × 106,871.60
  4. Step 4: Simplify right side
    190,852.40x = 30,595,052,027.76
  5. Step 5: Solve for x
    x = 30,595,052,027.76/190,852.40
  6. Step 6: Final answer
    x = 160,307.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.