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Finding the Fourth Proportional to 208,160.28, 287,260.97 and 112,666.82

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Solution

The fourth proportional to 208,160.28, 287,260.97 and 112,666.82 is: 155,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,160.28 : 287,260.97 = 112,666.82 : x
  2. Step 2: Convert to fraction form
    208,160.28/287,260.97 = 112,666.82/x
  3. Step 3: Cross multiply
    208,160.28x = 287,260.97 × 112,666.82
  4. Step 4: Simplify right side
    208,160.28x = 32,364,778,000.38
  5. Step 5: Solve for x
    x = 32,364,778,000.38/208,160.28
  6. Step 6: Final answer
    x = 155,480.08

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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.