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Finding the Fourth Proportional to 159,780.74, 220,458.08 and 97,675.54

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Solution

The fourth proportional to 159,780.74, 220,458.08 and 97,675.54 is: 134,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,780.74 : 220,458.08 = 97,675.54 : x
  2. Step 2: Convert to fraction form
    159,780.74/220,458.08 = 97,675.54/x
  3. Step 3: Cross multiply
    159,780.74x = 220,458.08 × 97,675.54
  4. Step 4: Simplify right side
    159,780.74x = 21,533,362,011.36
  5. Step 5: Solve for x
    x = 21,533,362,011.36/159,780.74
  6. Step 6: Final answer
    x = 134,768.20

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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.