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Finding the Fourth Proportional to 157,162.19, 216,888.52 and 96,767.68

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Solution

The fourth proportional to 157,162.19, 216,888.52 and 96,767.68 is: 133,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,162.19 : 216,888.52 = 96,767.68 : x
  2. Step 2: Convert to fraction form
    157,162.19/216,888.52 = 96,767.68/x
  3. Step 3: Cross multiply
    157,162.19x = 216,888.52 × 96,767.68
  4. Step 4: Simplify right side
    157,162.19x = 20,987,798,899.03
  5. Step 5: Solve for x
    x = 20,987,798,899.03/157,162.19
  6. Step 6: Final answer
    x = 133,542.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.