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Finding the Fourth Proportional to 160,970.80, 241,456.20 and 138,809.20

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Solution

The fourth proportional to 160,970.80, 241,456.20 and 138,809.20 is: 208,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,970.80 : 241,456.20 = 138,809.20 : x
  2. Step 2: Convert to fraction form
    160,970.80/241,456.20 = 138,809.20/x
  3. Step 3: Cross multiply
    160,970.80x = 241,456.20 × 138,809.20
  4. Step 4: Simplify right side
    160,970.80x = 33,516,341,957.04
  5. Step 5: Solve for x
    x = 33,516,341,957.04/160,970.80
  6. Step 6: Final answer
    x = 208,213.80

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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.