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Finding the Fourth Proportional to 153,776.58, 230,671.82 and 47,152.76

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Solution

The fourth proportional to 153,776.58, 230,671.82 and 47,152.76 is: 70,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,776.58 : 230,671.82 = 47,152.76 : x
  2. Step 2: Convert to fraction form
    153,776.58/230,671.82 = 47,152.76/x
  3. Step 3: Cross multiply
    153,776.58x = 230,671.82 × 47,152.76
  4. Step 4: Simplify right side
    153,776.58x = 10,876,811,578.10
  5. Step 5: Solve for x
    x = 10,876,811,578.10/153,776.58
  6. Step 6: Final answer
    x = 70,731.26

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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.