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Finding the Fourth Proportional to 292,493.59, 438,767.16 and 82,130.11

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Solution

The fourth proportional to 292,493.59, 438,767.16 and 82,130.11 is: 123,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,493.59 : 438,767.16 = 82,130.11 : x
  2. Step 2: Convert to fraction form
    292,493.59/438,767.16 = 82,130.11/x
  3. Step 3: Cross multiply
    292,493.59x = 438,767.16 × 82,130.11
  4. Step 4: Simplify right side
    292,493.59x = 36,035,995,115.19
  5. Step 5: Solve for x
    x = 36,035,995,115.19/292,493.59
  6. Step 6: Final answer
    x = 123,202.68

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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.