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Finding the Fourth Proportional to 119,285.85, 164,670.84 and 75,700.31

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Solution

The fourth proportional to 119,285.85, 164,670.84 and 75,700.31 is: 104,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,285.85 : 164,670.84 = 75,700.31 : x
  2. Step 2: Convert to fraction form
    119,285.85/164,670.84 = 75,700.31/x
  3. Step 3: Cross multiply
    119,285.85x = 164,670.84 × 75,700.31
  4. Step 4: Simplify right side
    119,285.85x = 12,465,633,257.46
  5. Step 5: Solve for x
    x = 12,465,633,257.46/119,285.85
  6. Step 6: Final answer
    x = 104,502.20

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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.