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Finding the Fourth Proportional to 140,887.46, 194,097.93 and 98,378.66

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Solution

The fourth proportional to 140,887.46, 194,097.93 and 98,378.66 is: 135,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,887.46 : 194,097.93 = 98,378.66 : x
  2. Step 2: Convert to fraction form
    140,887.46/194,097.93 = 98,378.66/x
  3. Step 3: Cross multiply
    140,887.46x = 194,097.93 × 98,378.66
  4. Step 4: Simplify right side
    140,887.46x = 19,095,094,262.17
  5. Step 5: Solve for x
    x = 19,095,094,262.17/140,887.46
  6. Step 6: Final answer
    x = 135,534.38

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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.