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Finding the Fourth Proportional to 110,473, 165,400.74 and 59,690.12

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Solution

The fourth proportional to 110,473, 165,400.74 and 59,690.12 is: 89,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,473 : 165,400.74 = 59,690.12 : x
  2. Step 2: Convert to fraction form
    110,473/165,400.74 = 59,690.12/x
  3. Step 3: Cross multiply
    110,473x = 165,400.74 × 59,690.12
  4. Step 4: Simplify right side
    110,473x = 9,872,790,018.69
  5. Step 5: Solve for x
    x = 9,872,790,018.69/110,473
  6. Step 6: Final answer
    x = 89,368.35

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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.