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Finding the Fourth Proportional to 464,100.96, 696,152.05 and 127,144.58

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Solution

The fourth proportional to 464,100.96, 696,152.05 and 127,144.58 is: 190,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,100.96 : 696,152.05 = 127,144.58 : x
  2. Step 2: Convert to fraction form
    464,100.96/696,152.05 = 127,144.58/x
  3. Step 3: Cross multiply
    464,100.96x = 696,152.05 × 127,144.58
  4. Step 4: Simplify right side
    464,100.96x = 88,511,956,214.77
  5. Step 5: Solve for x
    x = 88,511,956,214.77/464,100.96
  6. Step 6: Final answer
    x = 190,717.03

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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.