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Finding the Fourth Proportional to 140,886.96, 194,097.24 and 98,378.16

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Solution

The fourth proportional to 140,886.96, 194,097.24 and 98,378.16 is: 135,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,886.96 : 194,097.24 = 98,378.16 : x
  2. Step 2: Convert to fraction form
    140,886.96/194,097.24 = 98,378.16/x
  3. Step 3: Cross multiply
    140,886.96x = 194,097.24 × 98,378.16
  4. Step 4: Simplify right side
    140,886.96x = 19,094,929,332.28
  5. Step 5: Solve for x
    x = 19,094,929,332.28/140,886.96
  6. Step 6: Final answer
    x = 135,533.69

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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.