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Finding the Fourth Proportional to 116,326.52, 160,527.10 and 64,643.44

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Solution

The fourth proportional to 116,326.52, 160,527.10 and 64,643.44 is: 89,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,326.52 : 160,527.10 = 64,643.44 : x
  2. Step 2: Convert to fraction form
    116,326.52/160,527.10 = 64,643.44/x
  3. Step 3: Cross multiply
    116,326.52x = 160,527.10 × 64,643.44
  4. Step 4: Simplify right side
    116,326.52x = 10,377,023,795.62
  5. Step 5: Solve for x
    x = 10,377,023,795.62/116,326.52
  6. Step 6: Final answer
    x = 89,206.00

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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.