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Finding the Fourth Proportional to 157,582.64, 236,101.44 and 106,195.52

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Solution

The fourth proportional to 157,582.64, 236,101.44 and 106,195.52 is: 159,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,582.64 : 236,101.44 = 106,195.52 : x
  2. Step 2: Convert to fraction form
    157,582.64/236,101.44 = 106,195.52/x
  3. Step 3: Cross multiply
    157,582.64x = 236,101.44 × 106,195.52
  4. Step 4: Simplify right side
    157,582.64x = 25,072,915,193.55
  5. Step 5: Solve for x
    x = 25,072,915,193.55/157,582.64
  6. Step 6: Final answer
    x = 159,109.63

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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.