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Finding the Fourth Proportional to 176,102.39, 243,015.78 and 98,578.01

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Solution

The fourth proportional to 176,102.39, 243,015.78 and 98,578.01 is: 136,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,102.39 : 243,015.78 = 98,578.01 : x
  2. Step 2: Convert to fraction form
    176,102.39/243,015.78 = 98,578.01/x
  3. Step 3: Cross multiply
    176,102.39x = 243,015.78 × 98,578.01
  4. Step 4: Simplify right side
    176,102.39x = 23,956,011,991.00
  5. Step 5: Solve for x
    x = 23,956,011,991.00/176,102.39
  6. Step 6: Final answer
    x = 136,034.56

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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.