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Finding the Fourth Proportional to 213,002, 293,942.76 and 123,595.28

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Solution

The fourth proportional to 213,002, 293,942.76 and 123,595.28 is: 170,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,002 : 293,942.76 = 123,595.28 : x
  2. Step 2: Convert to fraction form
    213,002/293,942.76 = 123,595.28/x
  3. Step 3: Cross multiply
    213,002x = 293,942.76 × 123,595.28
  4. Step 4: Simplify right side
    213,002x = 36,329,937,726.17
  5. Step 5: Solve for x
    x = 36,329,937,726.17/213,002
  6. Step 6: Final answer
    x = 170,561.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.