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Finding the Fourth Proportional to 190,909.20, 286,363.80 and 159,805.20

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Solution

The fourth proportional to 190,909.20, 286,363.80 and 159,805.20 is: 239,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,909.20 : 286,363.80 = 159,805.20 : x
  2. Step 2: Convert to fraction form
    190,909.20/286,363.80 = 159,805.20/x
  3. Step 3: Cross multiply
    190,909.20x = 286,363.80 × 159,805.20
  4. Step 4: Simplify right side
    190,909.20x = 45,762,424,331.76
  5. Step 5: Solve for x
    x = 45,762,424,331.76/190,909.20
  6. Step 6: Final answer
    x = 239,707.80

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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.