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Finding the Fourth Proportional to 101,357.95, 152,073.14 and 45,193.02

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Solution

The fourth proportional to 101,357.95, 152,073.14 and 45,193.02 is: 67,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,357.95 : 152,073.14 = 45,193.02 : x
  2. Step 2: Convert to fraction form
    101,357.95/152,073.14 = 45,193.02/x
  3. Step 3: Cross multiply
    101,357.95x = 152,073.14 × 45,193.02
  4. Step 4: Simplify right side
    101,357.95x = 6,872,644,231.52
  5. Step 5: Solve for x
    x = 6,872,644,231.52/101,357.95
  6. Step 6: Final answer
    x = 67,805.68

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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.