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Finding the Fourth Proportional to 154,696.34, 232,044.71 and 42,377.55

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Solution

The fourth proportional to 154,696.34, 232,044.71 and 42,377.55 is: 63,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,696.34 : 232,044.71 = 42,377.55 : x
  2. Step 2: Convert to fraction form
    154,696.34/232,044.71 = 42,377.55/x
  3. Step 3: Cross multiply
    154,696.34x = 232,044.71 × 42,377.55
  4. Step 4: Simplify right side
    154,696.34x = 9,833,486,088.37
  5. Step 5: Solve for x
    x = 9,833,486,088.37/154,696.34
  6. Step 6: Final answer
    x = 63,566.38

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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.