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Finding the Fourth Proportional to 112,411.64, 155,200.38 and 72,142.76

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Solution

The fourth proportional to 112,411.64, 155,200.38 and 72,142.76 is: 99,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,411.64 : 155,200.38 = 72,142.76 : x
  2. Step 2: Convert to fraction form
    112,411.64/155,200.38 = 72,142.76/x
  3. Step 3: Cross multiply
    112,411.64x = 155,200.38 × 72,142.76
  4. Step 4: Simplify right side
    112,411.64x = 11,196,583,766.25
  5. Step 5: Solve for x
    x = 11,196,583,766.25/112,411.64
  6. Step 6: Final answer
    x = 99,603.42

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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.