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Finding the Fourth Proportional to 147,065.80, 220,817.40 and 113,823.40

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Solution

The fourth proportional to 147,065.80, 220,817.40 and 113,823.40 is: 170,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,065.80 : 220,817.40 = 113,823.40 : x
  2. Step 2: Convert to fraction form
    147,065.80/220,817.40 = 113,823.40/x
  3. Step 3: Cross multiply
    147,065.80x = 220,817.40 × 113,823.40
  4. Step 4: Simplify right side
    147,065.80x = 25,134,187,247.16
  5. Step 5: Solve for x
    x = 25,134,187,247.16/147,065.80
  6. Step 6: Final answer
    x = 170,904.37

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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.