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Finding the Fourth Proportional to 129,521.76, 178,756.38 and 72,933

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Solution

The fourth proportional to 129,521.76, 178,756.38 and 72,933 is: 100,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,521.76 : 178,756.38 = 72,933 : x
  2. Step 2: Convert to fraction form
    129,521.76/178,756.38 = 72,933/x
  3. Step 3: Cross multiply
    129,521.76x = 178,756.38 × 72,933
  4. Step 4: Simplify right side
    129,521.76x = 13,037,239,062.54
  5. Step 5: Solve for x
    x = 13,037,239,062.54/129,521.76
  6. Step 6: Final answer
    x = 100,656.75

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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.