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Finding the Fourth Proportional to 285,755.18, 428,656.14 and 143,527.32

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Solution

The fourth proportional to 285,755.18, 428,656.14 and 143,527.32 is: 215,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,755.18 : 428,656.14 = 143,527.32 : x
  2. Step 2: Convert to fraction form
    285,755.18/428,656.14 = 143,527.32/x
  3. Step 3: Cross multiply
    285,755.18x = 428,656.14 × 143,527.32
  4. Step 4: Simplify right side
    285,755.18x = 61,523,866,975.74
  5. Step 5: Solve for x
    x = 61,523,866,975.74/285,755.18
  6. Step 6: Final answer
    x = 215,302.72

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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.