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Finding the Fourth Proportional to 201,686.34, 302,531.24 and 57,591.79

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Solution

The fourth proportional to 201,686.34, 302,531.24 and 57,591.79 is: 86,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,686.34 : 302,531.24 = 57,591.79 : x
  2. Step 2: Convert to fraction form
    201,686.34/302,531.24 = 57,591.79/x
  3. Step 3: Cross multiply
    201,686.34x = 302,531.24 × 57,591.79
  4. Step 4: Simplify right side
    201,686.34x = 17,423,316,731.91
  5. Step 5: Solve for x
    x = 17,423,316,731.91/201,686.34
  6. Step 6: Final answer
    x = 86,388.18

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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.