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Finding the Fourth Proportional to 217,430.38, 299,776.17 and 140,814.10

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Solution

The fourth proportional to 217,430.38, 299,776.17 and 140,814.10 is: 194,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,430.38 : 299,776.17 = 140,814.10 : x
  2. Step 2: Convert to fraction form
    217,430.38/299,776.17 = 140,814.10/x
  3. Step 3: Cross multiply
    217,430.38x = 299,776.17 × 140,814.10
  4. Step 4: Simplify right side
    217,430.38x = 42,212,711,580.00
  5. Step 5: Solve for x
    x = 42,212,711,580.00/217,430.38
  6. Step 6: Final answer
    x = 194,143.58

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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.