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Finding the Fourth Proportional to 152,220.75, 228,332.10 and 39,900

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Solution

The fourth proportional to 152,220.75, 228,332.10 and 39,900 is: 59,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,220.75 : 228,332.10 = 39,900 : x
  2. Step 2: Convert to fraction form
    152,220.75/228,332.10 = 39,900/x
  3. Step 3: Cross multiply
    152,220.75x = 228,332.10 × 39,900
  4. Step 4: Simplify right side
    152,220.75x = 9,110,450,790
  5. Step 5: Solve for x
    x = 9,110,450,790/152,220.75
  6. Step 6: Final answer
    x = 59,850.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.