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Finding the Fourth Proportional to 272,952.40, 409,282.80 and 95,465.20

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Solution

The fourth proportional to 272,952.40, 409,282.80 and 95,465.20 is: 143,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,952.40 : 409,282.80 = 95,465.20 : x
  2. Step 2: Convert to fraction form
    272,952.40/409,282.80 = 95,465.20/x
  3. Step 3: Cross multiply
    272,952.40x = 409,282.80 × 95,465.20
  4. Step 4: Simplify right side
    272,952.40x = 39,072,264,358.56
  5. Step 5: Solve for x
    x = 39,072,264,358.56/272,952.40
  6. Step 6: Final answer
    x = 143,146.81

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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.