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Finding the Fourth Proportional to 159,097.15, 239,083.12 and 148,694.32

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Solution

The fourth proportional to 159,097.15, 239,083.12 and 148,694.32 is: 223,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,097.15 : 239,083.12 = 148,694.32 : x
  2. Step 2: Convert to fraction form
    159,097.15/239,083.12 = 148,694.32/x
  3. Step 3: Cross multiply
    159,097.15x = 239,083.12 × 148,694.32
  4. Step 4: Simplify right side
    159,097.15x = 35,550,301,091.76
  5. Step 5: Solve for x
    x = 35,550,301,091.76/159,097.15
  6. Step 6: Final answer
    x = 223,450.28

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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.