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Finding the Fourth Proportional to 253,542.34, 349,875.11 and 138,799

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Solution

The fourth proportional to 253,542.34, 349,875.11 and 138,799 is: 191,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,542.34 : 349,875.11 = 138,799 : x
  2. Step 2: Convert to fraction form
    253,542.34/349,875.11 = 138,799/x
  3. Step 3: Cross multiply
    253,542.34x = 349,875.11 × 138,799
  4. Step 4: Simplify right side
    253,542.34x = 48,562,315,392.89
  5. Step 5: Solve for x
    x = 48,562,315,392.89/253,542.34
  6. Step 6: Final answer
    x = 191,535.33

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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.