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Finding the Fourth Proportional to 112,902.81, 155,805.71 and 65,156.15

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Solution

The fourth proportional to 112,902.81, 155,805.71 and 65,156.15 is: 89,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,902.81 : 155,805.71 = 65,156.15 : x
  2. Step 2: Convert to fraction form
    112,902.81/155,805.71 = 65,156.15/x
  3. Step 3: Cross multiply
    112,902.81x = 155,805.71 × 65,156.15
  4. Step 4: Simplify right side
    112,902.81x = 10,151,699,106.81
  5. Step 5: Solve for x
    x = 10,151,699,106.81/112,902.81
  6. Step 6: Final answer
    x = 89,915.38

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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.