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Finding the Fourth Proportional to 154,798.32, 232,172.56 and 42,452.47

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Solution

The fourth proportional to 154,798.32, 232,172.56 and 42,452.47 is: 63,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,798.32 : 232,172.56 = 42,452.47 : x
  2. Step 2: Convert to fraction form
    154,798.32/232,172.56 = 42,452.47/x
  3. Step 3: Cross multiply
    154,798.32x = 232,172.56 × 42,452.47
  4. Step 4: Simplify right side
    154,798.32x = 9,856,298,981.50
  5. Step 5: Solve for x
    x = 9,856,298,981.50/154,798.32
  6. Step 6: Final answer
    x = 63,671.87

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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.