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Finding the Fourth Proportional to 157,018.50, 235,206.99 and 130,638.42

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Solution

The fourth proportional to 157,018.50, 235,206.99 and 130,638.42 is: 195,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,018.50 : 235,206.99 = 130,638.42 : x
  2. Step 2: Convert to fraction form
    157,018.50/235,206.99 = 130,638.42/x
  3. Step 3: Cross multiply
    157,018.50x = 235,206.99 × 130,638.42
  4. Step 4: Simplify right side
    157,018.50x = 30,727,069,546.56
  5. Step 5: Solve for x
    x = 30,727,069,546.56/157,018.50
  6. Step 6: Final answer
    x = 195,690.76

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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.