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Finding the Fourth Proportional to 282,762.48, 424,143.80 and 132,892.72

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Solution

The fourth proportional to 282,762.48, 424,143.80 and 132,892.72 is: 199,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,762.48 : 424,143.80 = 132,892.72 : x
  2. Step 2: Convert to fraction form
    282,762.48/424,143.80 = 132,892.72/x
  3. Step 3: Cross multiply
    282,762.48x = 424,143.80 × 132,892.72
  4. Step 4: Simplify right side
    282,762.48x = 56,365,623,253.14
  5. Step 5: Solve for x
    x = 56,365,623,253.14/282,762.48
  6. Step 6: Final answer
    x = 199,339.12

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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.