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Finding the Fourth Proportional to 223,301.70, 334,952.55 and 97,002.45

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Solution

The fourth proportional to 223,301.70, 334,952.55 and 97,002.45 is: 145,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,301.70 : 334,952.55 = 97,002.45 : x
  2. Step 2: Convert to fraction form
    223,301.70/334,952.55 = 97,002.45/x
  3. Step 3: Cross multiply
    223,301.70x = 334,952.55 × 97,002.45
  4. Step 4: Simplify right side
    223,301.70x = 32,491,217,983.75
  5. Step 5: Solve for x
    x = 32,491,217,983.75/223,301.70
  6. Step 6: Final answer
    x = 145,503.68

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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.