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Finding the Fourth Proportional to 464,101.34, 696,152.61 and 127,144.95

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Solution

The fourth proportional to 464,101.34, 696,152.61 and 127,144.95 is: 190,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,101.34 : 696,152.61 = 127,144.95 : x
  2. Step 2: Convert to fraction form
    464,101.34/696,152.61 = 127,144.95/x
  3. Step 3: Cross multiply
    464,101.34x = 696,152.61 × 127,144.95
  4. Step 4: Simplify right side
    464,101.34x = 88,512,286,180.25
  5. Step 5: Solve for x
    x = 88,512,286,180.25/464,101.34
  6. Step 6: Final answer
    x = 190,717.59

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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.