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Finding the Fourth Proportional to 157,974.48, 236,801.64 and 68,075.76

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Solution

The fourth proportional to 157,974.48, 236,801.64 and 68,075.76 is: 102,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,974.48 : 236,801.64 = 68,075.76 : x
  2. Step 2: Convert to fraction form
    157,974.48/236,801.64 = 68,075.76/x
  3. Step 3: Cross multiply
    157,974.48x = 236,801.64 × 68,075.76
  4. Step 4: Simplify right side
    157,974.48x = 16,120,451,612.25
  5. Step 5: Solve for x
    x = 16,120,451,612.25/157,974.48
  6. Step 6: Final answer
    x = 102,044.66

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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.