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Finding the Fourth Proportional to 176,319.80, 264,042.30 and 141,327.80

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Solution

The fourth proportional to 176,319.80, 264,042.30 and 141,327.80 is: 211,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,319.80 : 264,042.30 = 141,327.80 : x
  2. Step 2: Convert to fraction form
    176,319.80/264,042.30 = 141,327.80/x
  3. Step 3: Cross multiply
    176,319.80x = 264,042.30 × 141,327.80
  4. Step 4: Simplify right side
    176,319.80x = 37,316,517,365.94
  5. Step 5: Solve for x
    x = 37,316,517,365.94/176,319.80
  6. Step 6: Final answer
    x = 211,641.11

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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.