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Finding the Fourth Proportional to 157,142.38, 216,879.34 and 88,239.58

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Solution

The fourth proportional to 157,142.38, 216,879.34 and 88,239.58 is: 121,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,142.38 : 216,879.34 = 88,239.58 : x
  2. Step 2: Convert to fraction form
    157,142.38/216,879.34 = 88,239.58/x
  3. Step 3: Cross multiply
    157,142.38x = 216,879.34 × 88,239.58
  4. Step 4: Simplify right side
    157,142.38x = 19,137,341,579.92
  5. Step 5: Solve for x
    x = 19,137,341,579.92/157,142.38
  6. Step 6: Final answer
    x = 121,783.45

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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.