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Finding the Fourth Proportional to 243,833.02, 365,673.89 and 86,024.57

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Solution

The fourth proportional to 243,833.02, 365,673.89 and 86,024.57 is: 129,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,833.02 : 365,673.89 = 86,024.57 : x
  2. Step 2: Convert to fraction form
    243,833.02/365,673.89 = 86,024.57/x
  3. Step 3: Cross multiply
    243,833.02x = 365,673.89 × 86,024.57
  4. Step 4: Simplify right side
    243,833.02x = 31,456,937,534.17
  5. Step 5: Solve for x
    x = 31,456,937,534.17/243,833.02
  6. Step 6: Final answer
    x = 129,010.16

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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.