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Finding the Fourth Proportional to 186,148.46, 256,883.65 and 101,265.86

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Solution

The fourth proportional to 186,148.46, 256,883.65 and 101,265.86 is: 139,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,148.46 : 256,883.65 = 101,265.86 : x
  2. Step 2: Convert to fraction form
    186,148.46/256,883.65 = 101,265.86/x
  3. Step 3: Cross multiply
    186,148.46x = 256,883.65 × 101,265.86
  4. Step 4: Simplify right side
    186,148.46x = 26,013,543,737.19
  5. Step 5: Solve for x
    x = 26,013,543,737.19/186,148.46
  6. Step 6: Final answer
    x = 139,746.22

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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.