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Finding the Fourth Proportional to 239,478, 359,218.80 and 106,322.52

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Solution

The fourth proportional to 239,478, 359,218.80 and 106,322.52 is: 159,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,478 : 359,218.80 = 106,322.52 : x
  2. Step 2: Convert to fraction form
    239,478/359,218.80 = 106,322.52/x
  3. Step 3: Cross multiply
    239,478x = 359,218.80 × 106,322.52
  4. Step 4: Simplify right side
    239,478x = 38,193,048,047.38
  5. Step 5: Solve for x
    x = 38,193,048,047.38/239,478
  6. Step 6: Final answer
    x = 159,484.58

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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.