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Finding the Fourth Proportional to 152,049.60, 228,074.40 and 102,283.20

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Solution

The fourth proportional to 152,049.60, 228,074.40 and 102,283.20 is: 153,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,049.60 : 228,074.40 = 102,283.20 : x
  2. Step 2: Convert to fraction form
    152,049.60/228,074.40 = 102,283.20/x
  3. Step 3: Cross multiply
    152,049.60x = 228,074.40 × 102,283.20
  4. Step 4: Simplify right side
    152,049.60x = 23,328,179,470.08
  5. Step 5: Solve for x
    x = 23,328,179,470.08/152,049.60
  6. Step 6: Final answer
    x = 153,424.80

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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.