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Finding the Fourth Proportional to 190,847.70, 286,041.15 and 97,305.30

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Solution

The fourth proportional to 190,847.70, 286,041.15 and 97,305.30 is: 145,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,847.70 : 286,041.15 = 97,305.30 : x
  2. Step 2: Convert to fraction form
    190,847.70/286,041.15 = 97,305.30/x
  3. Step 3: Cross multiply
    190,847.70x = 286,041.15 × 97,305.30
  4. Step 4: Simplify right side
    190,847.70x = 27,833,319,913.10
  5. Step 5: Solve for x
    x = 27,833,319,913.10/190,847.70
  6. Step 6: Final answer
    x = 145,840.48

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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.