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Finding the Fourth Proportional to 160,148.70, 240,220.01 and 47,829.24

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Solution

The fourth proportional to 160,148.70, 240,220.01 and 47,829.24 is: 71,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,148.70 : 240,220.01 = 47,829.24 : x
  2. Step 2: Convert to fraction form
    160,148.70/240,220.01 = 47,829.24/x
  3. Step 3: Cross multiply
    160,148.70x = 240,220.01 × 47,829.24
  4. Step 4: Simplify right side
    160,148.70x = 11,489,540,271.95
  5. Step 5: Solve for x
    x = 11,489,540,271.95/160,148.70
  6. Step 6: Final answer
    x = 71,742.95

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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.