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Finding the Fourth Proportional to 84,701.80, 127,052.70 and 76,148.20

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Solution

The fourth proportional to 84,701.80, 127,052.70 and 76,148.20 is: 114,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,701.80 : 127,052.70 = 76,148.20 : x
  2. Step 2: Convert to fraction form
    84,701.80/127,052.70 = 76,148.20/x
  3. Step 3: Cross multiply
    84,701.80x = 127,052.70 × 76,148.20
  4. Step 4: Simplify right side
    84,701.80x = 9,674,834,410.14
  5. Step 5: Solve for x
    x = 9,674,834,410.14/84,701.80
  6. Step 6: Final answer
    x = 114,222.30

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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.