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Finding the Fourth Proportional to 154,696.46, 232,044.90 and 42,377.68

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Solution

The fourth proportional to 154,696.46, 232,044.90 and 42,377.68 is: 63,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,696.46 : 232,044.90 = 42,377.68 : x
  2. Step 2: Convert to fraction form
    154,696.46/232,044.90 = 42,377.68/x
  3. Step 3: Cross multiply
    154,696.46x = 232,044.90 × 42,377.68
  4. Step 4: Simplify right side
    154,696.46x = 9,833,523,145.72
  5. Step 5: Solve for x
    x = 9,833,523,145.72/154,696.46
  6. Step 6: Final answer
    x = 63,566.57

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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.