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Finding the Fourth Proportional to 159,927.52, 220,407.60 and 106,117.60

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Solution

The fourth proportional to 159,927.52, 220,407.60 and 106,117.60 is: 146,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,927.52 : 220,407.60 = 106,117.60 : x
  2. Step 2: Convert to fraction form
    159,927.52/220,407.60 = 106,117.60/x
  3. Step 3: Cross multiply
    159,927.52x = 220,407.60 × 106,117.60
  4. Step 4: Simplify right side
    159,927.52x = 23,389,125,533.76
  5. Step 5: Solve for x
    x = 23,389,125,533.76/159,927.52
  6. Step 6: Final answer
    x = 146,248.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.