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Finding the Fourth Proportional to 280,526.88, 420,812.08 and 93,538.16

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Solution

The fourth proportional to 280,526.88, 420,812.08 and 93,538.16 is: 140,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,526.88 : 420,812.08 = 93,538.16 : x
  2. Step 2: Convert to fraction form
    280,526.88/420,812.08 = 93,538.16/x
  3. Step 3: Cross multiply
    280,526.88x = 420,812.08 × 93,538.16
  4. Step 4: Simplify right side
    280,526.88x = 39,361,987,668.97
  5. Step 5: Solve for x
    x = 39,361,987,668.97/280,526.88
  6. Step 6: Final answer
    x = 140,314.50

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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.