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Finding the Fourth Proportional to 102,407.88, 153,706.86 and 52,524.84

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Solution

The fourth proportional to 102,407.88, 153,706.86 and 52,524.84 is: 78,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,407.88 : 153,706.86 = 52,524.84 : x
  2. Step 2: Convert to fraction form
    102,407.88/153,706.86 = 52,524.84/x
  3. Step 3: Cross multiply
    102,407.88x = 153,706.86 × 52,524.84
  4. Step 4: Simplify right side
    102,407.88x = 8,073,428,228.40
  5. Step 5: Solve for x
    x = 8,073,428,228.40/102,407.88
  6. Step 6: Final answer
    x = 78,836.01

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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.