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Finding the Fourth Proportional to 456,124.90, 684,122.55 and 156,619.30

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Solution

The fourth proportional to 456,124.90, 684,122.55 and 156,619.30 is: 234,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,124.90 : 684,122.55 = 156,619.30 : x
  2. Step 2: Convert to fraction form
    456,124.90/684,122.55 = 156,619.30/x
  3. Step 3: Cross multiply
    456,124.90x = 684,122.55 × 156,619.30
  4. Step 4: Simplify right side
    456,124.90x = 107,146,794,895.22
  5. Step 5: Solve for x
    x = 107,146,794,895.22/456,124.90
  6. Step 6: Final answer
    x = 234,906.70

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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.