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Finding the Fourth Proportional to 523,147.01, 784,729.62 and 144,065.79

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Solution

The fourth proportional to 523,147.01, 784,729.62 and 144,065.79 is: 216,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,147.01 : 784,729.62 = 144,065.79 : x
  2. Step 2: Convert to fraction form
    523,147.01/784,729.62 = 144,065.79/x
  3. Step 3: Cross multiply
    523,147.01x = 784,729.62 × 144,065.79
  4. Step 4: Simplify right side
    523,147.01x = 113,052,692,641.70
  5. Step 5: Solve for x
    x = 113,052,692,641.70/523,147.01
  6. Step 6: Final answer
    x = 216,101.19

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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.