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Finding the Fourth Proportional to 152,314.40, 228,481.32 and 47,124.56

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Solution

The fourth proportional to 152,314.40, 228,481.32 and 47,124.56 is: 70,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,314.40 : 228,481.32 = 47,124.56 : x
  2. Step 2: Convert to fraction form
    152,314.40/228,481.32 = 47,124.56/x
  3. Step 3: Cross multiply
    152,314.40x = 228,481.32 × 47,124.56
  4. Step 4: Simplify right side
    152,314.40x = 10,767,081,673.22
  5. Step 5: Solve for x
    x = 10,767,081,673.22/152,314.40
  6. Step 6: Final answer
    x = 70,689.85

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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.