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Finding the Fourth Proportional to 115,415.66, 158,918.34 and 98,381.70

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Solution

The fourth proportional to 115,415.66, 158,918.34 and 98,381.70 is: 135,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,415.66 : 158,918.34 = 98,381.70 : x
  2. Step 2: Convert to fraction form
    115,415.66/158,918.34 = 98,381.70/x
  3. Step 3: Cross multiply
    115,415.66x = 158,918.34 × 98,381.70
  4. Step 4: Simplify right side
    115,415.66x = 15,634,656,450.38
  5. Step 5: Solve for x
    x = 15,634,656,450.38/115,415.66
  6. Step 6: Final answer
    x = 135,463.91

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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.