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Finding the Fourth Proportional to 157,088.40, 235,621.80 and 50,470.80

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Solution

The fourth proportional to 157,088.40, 235,621.80 and 50,470.80 is: 75,702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,088.40 : 235,621.80 = 50,470.80 : x
  2. Step 2: Convert to fraction form
    157,088.40/235,621.80 = 50,470.80/x
  3. Step 3: Cross multiply
    157,088.40x = 235,621.80 × 50,470.80
  4. Step 4: Simplify right side
    157,088.40x = 11,892,020,743.44
  5. Step 5: Solve for x
    x = 11,892,020,743.44/157,088.40
  6. Step 6: Final answer
    x = 75,702.73

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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.