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Finding the Fourth Proportional to 110,216, 152,098.14 and 59,915

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Solution

The fourth proportional to 110,216, 152,098.14 and 59,915 is: 82,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,216 : 152,098.14 = 59,915 : x
  2. Step 2: Convert to fraction form
    110,216/152,098.14 = 59,915/x
  3. Step 3: Cross multiply
    110,216x = 152,098.14 × 59,915
  4. Step 4: Simplify right side
    110,216x = 9,112,960,058.10
  5. Step 5: Solve for x
    x = 9,112,960,058.10/110,216
  6. Step 6: Final answer
    x = 82,682.73

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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.