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Finding the Fourth Proportional to 129,146.32, 194,011.10 and 76,590.28

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Solution

The fourth proportional to 129,146.32, 194,011.10 and 76,590.28 is: 115,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,146.32 : 194,011.10 = 76,590.28 : x
  2. Step 2: Convert to fraction form
    129,146.32/194,011.10 = 76,590.28/x
  3. Step 3: Cross multiply
    129,146.32x = 194,011.10 × 76,590.28
  4. Step 4: Simplify right side
    129,146.32x = 14,859,364,472.11
  5. Step 5: Solve for x
    x = 14,859,364,472.11/129,146.32
  6. Step 6: Final answer
    x = 115,058.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.