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Finding the Fourth Proportional to 159,564.80, 239,347.20 and 97,356.80

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Solution

The fourth proportional to 159,564.80, 239,347.20 and 97,356.80 is: 146,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,564.80 : 239,347.20 = 97,356.80 : x
  2. Step 2: Convert to fraction form
    159,564.80/239,347.20 = 97,356.80/x
  3. Step 3: Cross multiply
    159,564.80x = 239,347.20 × 97,356.80
  4. Step 4: Simplify right side
    159,564.80x = 23,302,077,480.96
  5. Step 5: Solve for x
    x = 23,302,077,480.96/159,564.80
  6. Step 6: Final answer
    x = 146,035.20

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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.