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Finding the Fourth Proportional to 152,251.92, 228,377.88 and 47,068.56

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Solution

The fourth proportional to 152,251.92, 228,377.88 and 47,068.56 is: 70,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,251.92 : 228,377.88 = 47,068.56 : x
  2. Step 2: Convert to fraction form
    152,251.92/228,377.88 = 47,068.56/x
  3. Step 3: Cross multiply
    152,251.92x = 228,377.88 × 47,068.56
  4. Step 4: Simplify right side
    152,251.92x = 10,749,417,947.45
  5. Step 5: Solve for x
    x = 10,749,417,947.45/152,251.92
  6. Step 6: Final answer
    x = 70,602.84

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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.