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Finding the Fourth Proportional to 207,038.34, 285,723.18 and 126,452.82

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Solution

The fourth proportional to 207,038.34, 285,723.18 and 126,452.82 is: 174,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,038.34 : 285,723.18 = 126,452.82 : x
  2. Step 2: Convert to fraction form
    207,038.34/285,723.18 = 126,452.82/x
  3. Step 3: Cross multiply
    207,038.34x = 285,723.18 × 126,452.82
  4. Step 4: Simplify right side
    207,038.34x = 36,130,501,850.37
  5. Step 5: Solve for x
    x = 36,130,501,850.37/207,038.34
  6. Step 6: Final answer
    x = 174,511.16

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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.