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Finding the Fourth Proportional to 154,727, 232,093.75 and 49,545.66

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Solution

The fourth proportional to 154,727, 232,093.75 and 49,545.66 is: 74,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,727 : 232,093.75 = 49,545.66 : x
  2. Step 2: Convert to fraction form
    154,727/232,093.75 = 49,545.66/x
  3. Step 3: Cross multiply
    154,727x = 232,093.75 × 49,545.66
  4. Step 4: Simplify right side
    154,727x = 11,499,238,025.63
  5. Step 5: Solve for x
    x = 11,499,238,025.63/154,727
  6. Step 6: Final answer
    x = 74,319.53

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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.