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Finding the Fourth Proportional to 176,472.78, 243,364.82 and 116,094.57

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Solution

The fourth proportional to 176,472.78, 243,364.82 and 116,094.57 is: 160,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,472.78 : 243,364.82 = 116,094.57 : x
  2. Step 2: Convert to fraction form
    176,472.78/243,364.82 = 116,094.57/x
  3. Step 3: Cross multiply
    176,472.78x = 243,364.82 × 116,094.57
  4. Step 4: Simplify right side
    176,472.78x = 28,253,333,550.55
  5. Step 5: Solve for x
    x = 28,253,333,550.55/176,472.78
  6. Step 6: Final answer
    x = 160,100.24

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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.