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Finding the Fourth Proportional to 169,518, 233,942.13 and 94,066.50

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Solution

The fourth proportional to 169,518, 233,942.13 and 94,066.50 is: 129,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,518 : 233,942.13 = 94,066.50 : x
  2. Step 2: Convert to fraction form
    169,518/233,942.13 = 94,066.50/x
  3. Step 3: Cross multiply
    169,518x = 233,942.13 × 94,066.50
  4. Step 4: Simplify right side
    169,518x = 22,006,117,371.65
  5. Step 5: Solve for x
    x = 22,006,117,371.65/169,518
  6. Step 6: Final answer
    x = 129,815.82

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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.