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Finding the Fourth Proportional to 267,573.24, 369,248.22 and 146,714.16

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Solution

The fourth proportional to 267,573.24, 369,248.22 and 146,714.16 is: 202,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,573.24 : 369,248.22 = 146,714.16 : x
  2. Step 2: Convert to fraction form
    267,573.24/369,248.22 = 146,714.16/x
  3. Step 3: Cross multiply
    267,573.24x = 369,248.22 × 146,714.16
  4. Step 4: Simplify right side
    267,573.24x = 54,173,942,428.80
  5. Step 5: Solve for x
    x = 54,173,942,428.80/267,573.24
  6. Step 6: Final answer
    x = 202,463.98

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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.