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Finding the Fourth Proportional to 157,922.50, 236,899.68 and 51,302.02

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Solution

The fourth proportional to 157,922.50, 236,899.68 and 51,302.02 is: 76,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,922.50 : 236,899.68 = 51,302.02 : x
  2. Step 2: Convert to fraction form
    157,922.50/236,899.68 = 51,302.02/x
  3. Step 3: Cross multiply
    157,922.50x = 236,899.68 × 51,302.02
  4. Step 4: Simplify right side
    157,922.50x = 12,153,432,121.35
  5. Step 5: Solve for x
    x = 12,153,432,121.35/157,922.50
  6. Step 6: Final answer
    x = 76,958.20

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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.