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Finding the Fourth Proportional to 224,417.84, 336,335.82 and 91,142

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Solution

The fourth proportional to 224,417.84, 336,335.82 and 91,142 is: 136,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,417.84 : 336,335.82 = 91,142 : x
  2. Step 2: Convert to fraction form
    224,417.84/336,335.82 = 91,142/x
  3. Step 3: Cross multiply
    224,417.84x = 336,335.82 × 91,142
  4. Step 4: Simplify right side
    224,417.84x = 30,654,319,306.44
  5. Step 5: Solve for x
    x = 30,654,319,306.44/224,417.84
  6. Step 6: Final answer
    x = 136,594.84

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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.