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Finding the Fourth Proportional to 177,158.16, 265,691.82 and 52,470

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Solution

The fourth proportional to 177,158.16, 265,691.82 and 52,470 is: 78,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,158.16 : 265,691.82 = 52,470 : x
  2. Step 2: Convert to fraction form
    177,158.16/265,691.82 = 52,470/x
  3. Step 3: Cross multiply
    177,158.16x = 265,691.82 × 52,470
  4. Step 4: Simplify right side
    177,158.16x = 13,940,849,795.40
  5. Step 5: Solve for x
    x = 13,940,849,795.40/177,158.16
  6. Step 6: Final answer
    x = 78,691.55

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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.