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Finding the Fourth Proportional to 210,026.52, 315,039.24 and 52,255.08

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Solution

The fourth proportional to 210,026.52, 315,039.24 and 52,255.08 is: 78,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,026.52 : 315,039.24 = 52,255.08 : x
  2. Step 2: Convert to fraction form
    210,026.52/315,039.24 = 52,255.08/x
  3. Step 3: Cross multiply
    210,026.52x = 315,039.24 × 52,255.08
  4. Step 4: Simplify right side
    210,026.52x = 16,462,400,689.34
  5. Step 5: Solve for x
    x = 16,462,400,689.34/210,026.52
  6. Step 6: Final answer
    x = 78,382.49

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