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Finding the Fourth Proportional to 158,378.60, 237,518.26 and 51,738.25

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Solution

The fourth proportional to 158,378.60, 237,518.26 and 51,738.25 is: 77,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,378.60 : 237,518.26 = 51,738.25 : x
  2. Step 2: Convert to fraction form
    158,378.60/237,518.26 = 51,738.25/x
  3. Step 3: Cross multiply
    158,378.60x = 237,518.26 × 51,738.25
  4. Step 4: Simplify right side
    158,378.60x = 12,288,779,115.45
  5. Step 5: Solve for x
    x = 12,288,779,115.45/158,378.60
  6. Step 6: Final answer
    x = 77,591.16

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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.