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Finding the Fourth Proportional to 130,417.38, 179,972.55 and 76,690.08

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Solution

The fourth proportional to 130,417.38, 179,972.55 and 76,690.08 is: 105,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,417.38 : 179,972.55 = 76,690.08 : x
  2. Step 2: Convert to fraction form
    130,417.38/179,972.55 = 76,690.08/x
  3. Step 3: Cross multiply
    130,417.38x = 179,972.55 × 76,690.08
  4. Step 4: Simplify right side
    130,417.38x = 13,802,109,257.30
  5. Step 5: Solve for x
    x = 13,802,109,257.30/130,417.38
  6. Step 6: Final answer
    x = 105,830.29

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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.