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Finding the Fourth Proportional to 456,167.46, 684,207.45 and 140,539.62

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Solution

The fourth proportional to 456,167.46, 684,207.45 and 140,539.62 is: 210,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,167.46 : 684,207.45 = 140,539.62 : x
  2. Step 2: Convert to fraction form
    456,167.46/684,207.45 = 140,539.62/x
  3. Step 3: Cross multiply
    456,167.46x = 684,207.45 × 140,539.62
  4. Step 4: Simplify right side
    456,167.46x = 96,158,255,024.17
  5. Step 5: Solve for x
    x = 96,158,255,024.17/456,167.46
  6. Step 6: Final answer
    x = 210,795.95

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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.