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Finding the Fourth Proportional to 102,993.38, 153,717.86 and 96,267.32

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Solution

The fourth proportional to 102,993.38, 153,717.86 and 96,267.32 is: 143,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.38 : 153,717.86 = 96,267.32 : x
  2. Step 2: Convert to fraction form
    102,993.38/153,717.86 = 96,267.32/x
  3. Step 3: Cross multiply
    102,993.38x = 153,717.86 × 96,267.32
  4. Step 4: Simplify right side
    102,993.38x = 14,798,005,168.41
  5. Step 5: Solve for x
    x = 14,798,005,168.41/102,993.38
  6. Step 6: Final answer
    x = 143,679.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.