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Finding the Fourth Proportional to 253,542, 349,874.66 and 138,798.65

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Solution

The fourth proportional to 253,542, 349,874.66 and 138,798.65 is: 191,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,542 : 349,874.66 = 138,798.65 : x
  2. Step 2: Convert to fraction form
    253,542/349,874.66 = 138,798.65/x
  3. Step 3: Cross multiply
    253,542x = 349,874.66 × 138,798.65
  4. Step 4: Simplify right side
    253,542x = 48,562,128,033.84
  5. Step 5: Solve for x
    x = 48,562,128,033.84/253,542
  6. Step 6: Final answer
    x = 191,534.85

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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.