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Finding the Fourth Proportional to 100,117.96, 150,537.04 and 92,315.84

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Solution

The fourth proportional to 100,117.96, 150,537.04 and 92,315.84 is: 138,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,117.96 : 150,537.04 = 92,315.84 : x
  2. Step 2: Convert to fraction form
    100,117.96/150,537.04 = 92,315.84/x
  3. Step 3: Cross multiply
    100,117.96x = 150,537.04 × 92,315.84
  4. Step 4: Simplify right side
    100,117.96x = 13,896,953,298.71
  5. Step 5: Solve for x
    x = 13,896,953,298.71/100,117.96
  6. Step 6: Final answer
    x = 138,805.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.