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Finding the Fourth Proportional to 101,908.58, 152,176.64 and 83,225.70

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Solution

The fourth proportional to 101,908.58, 152,176.64 and 83,225.70 is: 124,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,908.58 : 152,176.64 = 83,225.70 : x
  2. Step 2: Convert to fraction form
    101,908.58/152,176.64 = 83,225.70/x
  3. Step 3: Cross multiply
    101,908.58x = 152,176.64 × 83,225.70
  4. Step 4: Simplify right side
    101,908.58x = 12,665,006,971.52
  5. Step 5: Solve for x
    x = 12,665,006,971.52/101,908.58
  6. Step 6: Final answer
    x = 124,278.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.