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Finding the Fourth Proportional to 282,712.40, 424,068.84 and 132,842.76

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Solution

The fourth proportional to 282,712.40, 424,068.84 and 132,842.76 is: 199,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,712.40 : 424,068.84 = 132,842.76 : x
  2. Step 2: Convert to fraction form
    282,712.40/424,068.84 = 132,842.76/x
  3. Step 3: Cross multiply
    282,712.40x = 424,068.84 × 132,842.76
  4. Step 4: Simplify right side
    282,712.40x = 56,334,475,135.60
  5. Step 5: Solve for x
    x = 56,334,475,135.60/282,712.40
  6. Step 6: Final answer
    x = 199,264.25

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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.