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Finding the Fourth Proportional to 282,666.50, 424,194.15 and 116,454.50

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Solution

The fourth proportional to 282,666.50, 424,194.15 and 116,454.50 is: 174,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,666.50 : 424,194.15 = 116,454.50 : x
  2. Step 2: Convert to fraction form
    282,666.50/424,194.15 = 116,454.50/x
  3. Step 3: Cross multiply
    282,666.50x = 424,194.15 × 116,454.50
  4. Step 4: Simplify right side
    282,666.50x = 49,399,317,641.18
  5. Step 5: Solve for x
    x = 49,399,317,641.18/282,666.50
  6. Step 6: Final answer
    x = 174,761.84

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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.