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Finding the Fourth Proportional to 208,142.52, 287,237.52 and 112,649.19

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Solution

The fourth proportional to 208,142.52, 287,237.52 and 112,649.19 is: 155,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.52 : 287,237.52 = 112,649.19 : x
  2. Step 2: Convert to fraction form
    208,142.52/287,237.52 = 112,649.19/x
  3. Step 3: Cross multiply
    208,142.52x = 287,237.52 × 112,649.19
  4. Step 4: Simplify right side
    208,142.52x = 32,357,073,965.61
  5. Step 5: Solve for x
    x = 32,357,073,965.61/208,142.52
  6. Step 6: Final answer
    x = 155,456.34

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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.