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Finding the Fourth Proportional to 130,281, 179,787.84 and 73,691.16

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Solution

The fourth proportional to 130,281, 179,787.84 and 73,691.16 is: 101,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,281 : 179,787.84 = 73,691.16 : x
  2. Step 2: Convert to fraction form
    130,281/179,787.84 = 73,691.16/x
  3. Step 3: Cross multiply
    130,281x = 179,787.84 × 73,691.16
  4. Step 4: Simplify right side
    130,281x = 13,248,774,483.49
  5. Step 5: Solve for x
    x = 13,248,774,483.49/130,281
  6. Step 6: Final answer
    x = 101,693.83

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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.