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Finding the Fourth Proportional to 107,058.10, 160,523.15 and 65,534.90

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Solution

The fourth proportional to 107,058.10, 160,523.15 and 65,534.90 is: 98,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,058.10 : 160,523.15 = 65,534.90 : x
  2. Step 2: Convert to fraction form
    107,058.10/160,523.15 = 65,534.90/x
  3. Step 3: Cross multiply
    107,058.10x = 160,523.15 × 65,534.90
  4. Step 4: Simplify right side
    107,058.10x = 10,519,868,582.94
  5. Step 5: Solve for x
    x = 10,519,868,582.94/107,058.10
  6. Step 6: Final answer
    x = 98,263.17

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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.