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Finding the Fourth Proportional to 100,904.10, 151,356.15 and 96,065.70

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Solution

The fourth proportional to 100,904.10, 151,356.15 and 96,065.70 is: 144,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,904.10 : 151,356.15 = 96,065.70 : x
  2. Step 2: Convert to fraction form
    100,904.10/151,356.15 = 96,065.70/x
  3. Step 3: Cross multiply
    100,904.10x = 151,356.15 × 96,065.70
  4. Step 4: Simplify right side
    100,904.10x = 14,540,134,499.06
  5. Step 5: Solve for x
    x = 14,540,134,499.06/100,904.10
  6. Step 6: Final answer
    x = 144,098.55

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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.