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Finding the Fourth Proportional to 402,194.71, 603,291.48 and 102,675.28

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Solution

The fourth proportional to 402,194.71, 603,291.48 and 102,675.28 is: 154,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,194.71 : 603,291.48 = 102,675.28 : x
  2. Step 2: Convert to fraction form
    402,194.71/603,291.48 = 102,675.28/x
  3. Step 3: Cross multiply
    402,194.71x = 603,291.48 × 102,675.28
  4. Step 4: Simplify right side
    402,194.71x = 61,943,121,630.61
  5. Step 5: Solve for x
    x = 61,943,121,630.61/402,194.71
  6. Step 6: Final answer
    x = 154,012.77

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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.