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Finding the Fourth Proportional to 119,484.76, 164,831.32 and 74,215.38

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Solution

The fourth proportional to 119,484.76, 164,831.32 and 74,215.38 is: 102,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,484.76 : 164,831.32 = 74,215.38 : x
  2. Step 2: Convert to fraction form
    119,484.76/164,831.32 = 74,215.38/x
  3. Step 3: Cross multiply
    119,484.76x = 164,831.32 × 74,215.38
  4. Step 4: Simplify right side
    119,484.76x = 12,233,019,049.70
  5. Step 5: Solve for x
    x = 12,233,019,049.70/119,484.76
  6. Step 6: Final answer
    x = 102,381.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.