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Finding the Fourth Proportional to 190,858.40, 286,287.60 and 106,877.60

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Solution

The fourth proportional to 190,858.40, 286,287.60 and 106,877.60 is: 160,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,858.40 : 286,287.60 = 106,877.60 : x
  2. Step 2: Convert to fraction form
    190,858.40/286,287.60 = 106,877.60/x
  3. Step 3: Cross multiply
    190,858.40x = 286,287.60 × 106,877.60
  4. Step 4: Simplify right side
    190,858.40x = 30,597,731,597.76
  5. Step 5: Solve for x
    x = 30,597,731,597.76/190,858.40
  6. Step 6: Final answer
    x = 160,316.40

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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.