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Finding the Fourth Proportional to 267,689.71, 369,405.46 and 146,829.92

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Solution

The fourth proportional to 267,689.71, 369,405.46 and 146,829.92 is: 202,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,689.71 : 369,405.46 = 146,829.92 : x
  2. Step 2: Convert to fraction form
    267,689.71/369,405.46 = 146,829.92/x
  3. Step 3: Cross multiply
    267,689.71x = 369,405.46 × 146,829.92
  4. Step 4: Simplify right side
    267,689.71x = 54,239,772,475.87
  5. Step 5: Solve for x
    x = 54,239,772,475.87/267,689.71
  6. Step 6: Final answer
    x = 202,621.81

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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.