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Finding the Fourth Proportional to 176,307.40, 263,877.90 and 123,819.40

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Solution

The fourth proportional to 176,307.40, 263,877.90 and 123,819.40 is: 185,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,307.40 : 263,877.90 = 123,819.40 : x
  2. Step 2: Convert to fraction form
    176,307.40/263,877.90 = 123,819.40/x
  3. Step 3: Cross multiply
    176,307.40x = 263,877.90 × 123,819.40
  4. Step 4: Simplify right side
    176,307.40x = 32,673,203,251.26
  5. Step 5: Solve for x
    x = 32,673,203,251.26/176,307.40
  6. Step 6: Final answer
    x = 185,319.52

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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.