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Finding the Fourth Proportional to 140,306.74, 193,623.26 and 75,776.00

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Solution

The fourth proportional to 140,306.74, 193,623.26 and 75,776.00 is: 104,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,306.74 : 193,623.26 = 75,776.00 : x
  2. Step 2: Convert to fraction form
    140,306.74/193,623.26 = 75,776.00/x
  3. Step 3: Cross multiply
    140,306.74x = 193,623.26 × 75,776.00
  4. Step 4: Simplify right side
    140,306.74x = 14,671,994,802.76
  5. Step 5: Solve for x
    x = 14,671,994,802.76/140,306.74
  6. Step 6: Final answer
    x = 104,570.85

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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.