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Finding the Fourth Proportional to 119,452.16, 178,968.06 and 112,340.77

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Solution

The fourth proportional to 119,452.16, 178,968.06 and 112,340.77 is: 168,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,452.16 : 178,968.06 = 112,340.77 : x
  2. Step 2: Convert to fraction form
    119,452.16/178,968.06 = 112,340.77/x
  3. Step 3: Cross multiply
    119,452.16x = 178,968.06 × 112,340.77
  4. Step 4: Simplify right side
    119,452.16x = 20,105,408,992.25
  5. Step 5: Solve for x
    x = 20,105,408,992.25/119,452.16
  6. Step 6: Final answer
    x = 168,313.48

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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.