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Finding the Fourth Proportional to 218,202.59, 301,260.24 and 140,712.89

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Solution

The fourth proportional to 218,202.59, 301,260.24 and 140,712.89 is: 194,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,202.59 : 301,260.24 = 140,712.89 : x
  2. Step 2: Convert to fraction form
    218,202.59/301,260.24 = 140,712.89/x
  3. Step 3: Cross multiply
    218,202.59x = 301,260.24 × 140,712.89
  4. Step 4: Simplify right side
    218,202.59x = 42,391,197,506.19
  5. Step 5: Solve for x
    x = 42,391,197,506.19/218,202.59
  6. Step 6: Final answer
    x = 194,274.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.