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Finding the Fourth Proportional to 210,414.40, 315,433.68 and 77,263.72

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Solution

The fourth proportional to 210,414.40, 315,433.68 and 77,263.72 is: 115,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,414.40 : 315,433.68 = 77,263.72 : x
  2. Step 2: Convert to fraction form
    210,414.40/315,433.68 = 77,263.72/x
  3. Step 3: Cross multiply
    210,414.40x = 315,433.68 × 77,263.72
  4. Step 4: Simplify right side
    210,414.40x = 24,371,579,530.09
  5. Step 5: Solve for x
    x = 24,371,579,530.09/210,414.40
  6. Step 6: Final answer
    x = 115,826.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.