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Finding the Fourth Proportional to 98,671.91, 147,902.76 and 70,506.59

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Solution

The fourth proportional to 98,671.91, 147,902.76 and 70,506.59 is: 105,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,671.91 : 147,902.76 = 70,506.59 : x
  2. Step 2: Convert to fraction form
    98,671.91/147,902.76 = 70,506.59/x
  3. Step 3: Cross multiply
    98,671.91x = 147,902.76 × 70,506.59
  4. Step 4: Simplify right side
    98,671.91x = 10,428,118,519.67
  5. Step 5: Solve for x
    x = 10,428,118,519.67/98,671.91
  6. Step 6: Final answer
    x = 105,684.78

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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.