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Finding the Fourth Proportional to 159,923.80, 239,424.90 and 97,715.80

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Solution

The fourth proportional to 159,923.80, 239,424.90 and 97,715.80 is: 146,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,923.80 : 239,424.90 = 97,715.80 : x
  2. Step 2: Convert to fraction form
    159,923.80/239,424.90 = 97,715.80/x
  3. Step 3: Cross multiply
    159,923.80x = 239,424.90 × 97,715.80
  4. Step 4: Simplify right side
    159,923.80x = 23,395,595,643.42
  5. Step 5: Solve for x
    x = 23,395,595,643.42/159,923.80
  6. Step 6: Final answer
    x = 146,292.14

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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.