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Finding the Fourth Proportional to 130,952.84, 196,514.91 and 71,830.13

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Solution

The fourth proportional to 130,952.84, 196,514.91 and 71,830.13 is: 107,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,952.84 : 196,514.91 = 71,830.13 : x
  2. Step 2: Convert to fraction form
    130,952.84/196,514.91 = 71,830.13/x
  3. Step 3: Cross multiply
    130,952.84x = 196,514.91 × 71,830.13
  4. Step 4: Simplify right side
    130,952.84x = 14,115,690,549.66
  5. Step 5: Solve for x
    x = 14,115,690,549.66/130,952.84
  6. Step 6: Final answer
    x = 107,792.17

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Why These Related Problems?

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