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Finding the Fourth Proportional to 361,503.84, 542,404.50 and 158,995.74

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Solution

The fourth proportional to 361,503.84, 542,404.50 and 158,995.74 is: 238,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,503.84 : 542,404.50 = 158,995.74 : x
  2. Step 2: Convert to fraction form
    361,503.84/542,404.50 = 158,995.74/x
  3. Step 3: Cross multiply
    361,503.84x = 542,404.50 × 158,995.74
  4. Step 4: Simplify right side
    361,503.84x = 86,240,004,856.83
  5. Step 5: Solve for x
    x = 86,240,004,856.83/361,503.84
  6. Step 6: Final answer
    x = 238,559.03

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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.