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Finding the Fourth Proportional to 272,952.70, 409,356.15 and 83,412.70

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Solution

The fourth proportional to 272,952.70, 409,356.15 and 83,412.70 is: 125,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,952.70 : 409,356.15 = 83,412.70 : x
  2. Step 2: Convert to fraction form
    272,952.70/409,356.15 = 83,412.70/x
  3. Step 3: Cross multiply
    272,952.70x = 409,356.15 × 83,412.70
  4. Step 4: Simplify right side
    272,952.70x = 34,145,501,733.11
  5. Step 5: Solve for x
    x = 34,145,501,733.11/272,952.70
  6. Step 6: Final answer
    x = 125,096.77

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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.