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Finding the Fourth Proportional to 208,142.32, 287,236.38 and 112,649.02

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Solution

The fourth proportional to 208,142.32, 287,236.38 and 112,649.02 is: 155,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.32 : 287,236.38 = 112,649.02 : x
  2. Step 2: Convert to fraction form
    208,142.32/287,236.38 = 112,649.02/x
  3. Step 3: Cross multiply
    208,142.32x = 287,236.38 × 112,649.02
  4. Step 4: Simplify right side
    208,142.32x = 32,356,896,715.35
  5. Step 5: Solve for x
    x = 32,356,896,715.35/208,142.32
  6. Step 6: Final answer
    x = 155,455.64

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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.