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Finding the Fourth Proportional to 157,000, 216,660 and 89,936.32

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Solution

The fourth proportional to 157,000, 216,660 and 89,936.32 is: 124,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,000 : 216,660 = 89,936.32 : x
  2. Step 2: Convert to fraction form
    157,000/216,660 = 89,936.32/x
  3. Step 3: Cross multiply
    157,000x = 216,660 × 89,936.32
  4. Step 4: Simplify right side
    157,000x = 19,485,603,091.20
  5. Step 5: Solve for x
    x = 19,485,603,091.20/157,000
  6. Step 6: Final answer
    x = 124,112.12

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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.