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Finding the Fourth Proportional to 239,853.98, 359,780.43 and 97,758.38

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Solution

The fourth proportional to 239,853.98, 359,780.43 and 97,758.38 is: 146,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,853.98 : 359,780.43 = 97,758.38 : x
  2. Step 2: Convert to fraction form
    239,853.98/359,780.43 = 97,758.38/x
  3. Step 3: Cross multiply
    239,853.98x = 359,780.43 × 97,758.38
  4. Step 4: Simplify right side
    239,853.98x = 35,171,551,992.50
  5. Step 5: Solve for x
    x = 35,171,551,992.50/239,853.98
  6. Step 6: Final answer
    x = 146,637.35

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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.