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Finding the Fourth Proportional to 280,142.50, 420,217.47 and 93,154.06

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Solution

The fourth proportional to 280,142.50, 420,217.47 and 93,154.06 is: 139,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,142.50 : 420,217.47 = 93,154.06 : x
  2. Step 2: Convert to fraction form
    280,142.50/420,217.47 = 93,154.06/x
  3. Step 3: Cross multiply
    280,142.50x = 420,217.47 × 93,154.06
  4. Step 4: Simplify right side
    280,142.50x = 39,144,963,413.43
  5. Step 5: Solve for x
    x = 39,144,963,413.43/280,142.50
  6. Step 6: Final answer
    x = 139,732.33

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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.