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Finding the Fourth Proportional to 119,254.80, 164,398.24 and 83,333.28

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Solution

The fourth proportional to 119,254.80, 164,398.24 and 83,333.28 is: 114,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,254.80 : 164,398.24 = 83,333.28 : x
  2. Step 2: Convert to fraction form
    119,254.80/164,398.24 = 83,333.28/x
  3. Step 3: Cross multiply
    119,254.80x = 164,398.24 × 83,333.28
  4. Step 4: Simplify right side
    119,254.80x = 13,699,844,565.43
  5. Step 5: Solve for x
    x = 13,699,844,565.43/119,254.80
  6. Step 6: Final answer
    x = 114,878.77

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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.