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Finding the Fourth Proportional to 153,462.68, 211,765.02 and 85,474.52

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Solution

The fourth proportional to 153,462.68, 211,765.02 and 85,474.52 is: 117,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,462.68 : 211,765.02 = 85,474.52 : x
  2. Step 2: Convert to fraction form
    153,462.68/211,765.02 = 85,474.52/x
  3. Step 3: Cross multiply
    153,462.68x = 211,765.02 × 85,474.52
  4. Step 4: Simplify right side
    153,462.68x = 18,100,513,437.29
  5. Step 5: Solve for x
    x = 18,100,513,437.29/153,462.68
  6. Step 6: Final answer
    x = 117,947.33

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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.