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Finding the Fourth Proportional to 111,819.34, 153,826.05 and 98,148.16

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Solution

The fourth proportional to 111,819.34, 153,826.05 and 98,148.16 is: 135,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,819.34 : 153,826.05 = 98,148.16 : x
  2. Step 2: Convert to fraction form
    111,819.34/153,826.05 = 98,148.16/x
  3. Step 3: Cross multiply
    111,819.34x = 153,826.05 × 98,148.16
  4. Step 4: Simplify right side
    111,819.34x = 15,097,743,767.57
  5. Step 5: Solve for x
    x = 15,097,743,767.57/111,819.34
  6. Step 6: Final answer
    x = 135,019.07

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