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Finding the Fourth Proportional to 196,250.40, 294,159.60 and 77,882.40

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Solution

The fourth proportional to 196,250.40, 294,159.60 and 77,882.40 is: 116,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,250.40 : 294,159.60 = 77,882.40 : x
  2. Step 2: Convert to fraction form
    196,250.40/294,159.60 = 77,882.40/x
  3. Step 3: Cross multiply
    196,250.40x = 294,159.60 × 77,882.40
  4. Step 4: Simplify right side
    196,250.40x = 22,909,855,631.04
  5. Step 5: Solve for x
    x = 22,909,855,631.04/196,250.40
  6. Step 6: Final answer
    x = 116,737.88

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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.