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Finding the Fourth Proportional to 101,205.70, 151,808.55 and 77,877.70

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Solution

The fourth proportional to 101,205.70, 151,808.55 and 77,877.70 is: 116,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,205.70 : 151,808.55 = 77,877.70 : x
  2. Step 2: Convert to fraction form
    101,205.70/151,808.55 = 77,877.70/x
  3. Step 3: Cross multiply
    101,205.70x = 151,808.55 × 77,877.70
  4. Step 4: Simplify right side
    101,205.70x = 11,822,500,714.34
  5. Step 5: Solve for x
    x = 11,822,500,714.34/101,205.70
  6. Step 6: Final answer
    x = 116,816.55

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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.