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Finding the Fourth Proportional to 176,347, 243,358.86 and 96,859

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Solution

The fourth proportional to 176,347, 243,358.86 and 96,859 is: 133,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,347 : 243,358.86 = 96,859 : x
  2. Step 2: Convert to fraction form
    176,347/243,358.86 = 96,859/x
  3. Step 3: Cross multiply
    176,347x = 243,358.86 × 96,859
  4. Step 4: Simplify right side
    176,347x = 23,571,495,820.74
  5. Step 5: Solve for x
    x = 23,571,495,820.74/176,347
  6. Step 6: Final answer
    x = 133,665.42

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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.