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Finding the Fourth Proportional to 217,065.40, 325,598.10 and 146,206.60

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Solution

The fourth proportional to 217,065.40, 325,598.10 and 146,206.60 is: 219,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,065.40 : 325,598.10 = 146,206.60 : x
  2. Step 2: Convert to fraction form
    217,065.40/325,598.10 = 146,206.60/x
  3. Step 3: Cross multiply
    217,065.40x = 325,598.10 × 146,206.60
  4. Step 4: Simplify right side
    217,065.40x = 47,604,591,167.46
  5. Step 5: Solve for x
    x = 47,604,591,167.46/217,065.40
  6. Step 6: Final answer
    x = 219,309.90

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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.