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Finding the Fourth Proportional to 157,046.80, 235,483.80 and 68,285.20

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Solution

The fourth proportional to 157,046.80, 235,483.80 and 68,285.20 is: 102,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,046.80 : 235,483.80 = 68,285.20 : x
  2. Step 2: Convert to fraction form
    157,046.80/235,483.80 = 68,285.20/x
  3. Step 3: Cross multiply
    157,046.80x = 235,483.80 × 68,285.20
  4. Step 4: Simplify right side
    157,046.80x = 16,080,058,379.76
  5. Step 5: Solve for x
    x = 16,080,058,379.76/157,046.80
  6. Step 6: Final answer
    x = 102,390.23

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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.