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Finding the Fourth Proportional to 130,714.65, 180,379.17 and 76,987.35

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Solution

The fourth proportional to 130,714.65, 180,379.17 and 76,987.35 is: 106,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,714.65 : 180,379.17 = 76,987.35 : x
  2. Step 2: Convert to fraction form
    130,714.65/180,379.17 = 76,987.35/x
  3. Step 3: Cross multiply
    130,714.65x = 180,379.17 × 76,987.35
  4. Step 4: Simplify right side
    130,714.65x = 13,886,914,293.50
  5. Step 5: Solve for x
    x = 13,886,914,293.50/130,714.65
  6. Step 6: Final answer
    x = 106,238.39

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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.