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Finding the Fourth Proportional to 231,024, 318,862.08 and 158,525.76

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Solution

The fourth proportional to 231,024, 318,862.08 and 158,525.76 is: 218,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,024 : 318,862.08 = 158,525.76 : x
  2. Step 2: Convert to fraction form
    231,024/318,862.08 = 158,525.76/x
  3. Step 3: Cross multiply
    231,024x = 318,862.08 × 158,525.76
  4. Step 4: Simplify right side
    231,024x = 50,547,853,567.18
  5. Step 5: Solve for x
    x = 50,547,853,567.18/231,024
  6. Step 6: Final answer
    x = 218,799.14

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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.