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Finding the Fourth Proportional to 105,167.36, 145,129.32 and 57,419.69

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Solution

The fourth proportional to 105,167.36, 145,129.32 and 57,419.69 is: 79,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,167.36 : 145,129.32 = 57,419.69 : x
  2. Step 2: Convert to fraction form
    105,167.36/145,129.32 = 57,419.69/x
  3. Step 3: Cross multiply
    105,167.36x = 145,129.32 × 57,419.69
  4. Step 4: Simplify right side
    105,167.36x = 8,333,279,838.66
  5. Step 5: Solve for x
    x = 8,333,279,838.66/105,167.36
  6. Step 6: Final answer
    x = 79,238.27

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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.