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Finding the Fourth Proportional to 152,827.80, 229,241.70 and 42,019.80

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Solution

The fourth proportional to 152,827.80, 229,241.70 and 42,019.80 is: 63,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,827.80 : 229,241.70 = 42,019.80 : x
  2. Step 2: Convert to fraction form
    152,827.80/229,241.70 = 42,019.80/x
  3. Step 3: Cross multiply
    152,827.80x = 229,241.70 × 42,019.80
  4. Step 4: Simplify right side
    152,827.80x = 9,632,690,385.66
  5. Step 5: Solve for x
    x = 9,632,690,385.66/152,827.80
  6. Step 6: Final answer
    x = 63,029.70

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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.