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Finding the Fourth Proportional to 116,019.17, 160,116.25 and 65,031.09

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Solution

The fourth proportional to 116,019.17, 160,116.25 and 65,031.09 is: 89,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,019.17 : 160,116.25 = 65,031.09 : x
  2. Step 2: Convert to fraction form
    116,019.17/160,116.25 = 65,031.09/x
  3. Step 3: Cross multiply
    116,019.17x = 160,116.25 × 65,031.09
  4. Step 4: Simplify right side
    116,019.17x = 10,412,534,264.21
  5. Step 5: Solve for x
    x = 10,412,534,264.21/116,019.17
  6. Step 6: Final answer
    x = 89,748.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.