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Finding the Fourth Proportional to 267,381.28, 368,970.14 and 146,498.50

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Solution

The fourth proportional to 267,381.28, 368,970.14 and 146,498.50 is: 202,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,381.28 : 368,970.14 = 146,498.50 : x
  2. Step 2: Convert to fraction form
    267,381.28/368,970.14 = 146,498.50/x
  3. Step 3: Cross multiply
    267,381.28x = 368,970.14 × 146,498.50
  4. Step 4: Simplify right side
    267,381.28x = 54,053,572,054.79
  5. Step 5: Solve for x
    x = 54,053,572,054.79/267,381.28
  6. Step 6: Final answer
    x = 202,159.15

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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.