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Finding the Fourth Proportional to 135,301.60, 202,952.40 and 41,807.20

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Solution

The fourth proportional to 135,301.60, 202,952.40 and 41,807.20 is: 62,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,301.60 : 202,952.40 = 41,807.20 : x
  2. Step 2: Convert to fraction form
    135,301.60/202,952.40 = 41,807.20/x
  3. Step 3: Cross multiply
    135,301.60x = 202,952.40 × 41,807.20
  4. Step 4: Simplify right side
    135,301.60x = 8,484,871,577.28
  5. Step 5: Solve for x
    x = 8,484,871,577.28/135,301.60
  6. Step 6: Final answer
    x = 62,710.80

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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.