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Finding the Fourth Proportional to 110,918, 166,476.84 and 75,293.04

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Solution

The fourth proportional to 110,918, 166,476.84 and 75,293.04 is: 113,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,918 : 166,476.84 = 75,293.04 : x
  2. Step 2: Convert to fraction form
    110,918/166,476.84 = 75,293.04/x
  3. Step 3: Cross multiply
    110,918x = 166,476.84 × 75,293.04
  4. Step 4: Simplify right side
    110,918x = 12,534,547,373.19
  5. Step 5: Solve for x
    x = 12,534,547,373.19/110,918
  6. Step 6: Final answer
    x = 113,007.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.