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Finding the Fourth Proportional to 267,282.94, 368,710.62 and 165,275.80

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Solution

The fourth proportional to 267,282.94, 368,710.62 and 165,275.80 is: 227,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,282.94 : 368,710.62 = 165,275.80 : x
  2. Step 2: Convert to fraction form
    267,282.94/368,710.62 = 165,275.80/x
  3. Step 3: Cross multiply
    267,282.94x = 368,710.62 × 165,275.80
  4. Step 4: Simplify right side
    267,282.94x = 60,938,942,689.00
  5. Step 5: Solve for x
    x = 60,938,942,689.00/267,282.94
  6. Step 6: Final answer
    x = 227,994.13

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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.