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Finding the Fourth Proportional to 208,407.28, 287,569.56 and 123,510.64

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Solution

The fourth proportional to 208,407.28, 287,569.56 and 123,510.64 is: 170,425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,407.28 : 287,569.56 = 123,510.64 : x
  2. Step 2: Convert to fraction form
    208,407.28/287,569.56 = 123,510.64/x
  3. Step 3: Cross multiply
    208,407.28x = 287,569.56 × 123,510.64
  4. Step 4: Simplify right side
    208,407.28x = 35,517,900,400.12
  5. Step 5: Solve for x
    x = 35,517,900,400.12/208,407.28
  6. Step 6: Final answer
    x = 170,425.43

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1.5x scale

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.