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Finding the Fourth Proportional to 140,334.62, 193,674.93 and 76,681.85

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Solution

The fourth proportional to 140,334.62, 193,674.93 and 76,681.85 is: 105,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,334.62 : 193,674.93 = 76,681.85 : x
  2. Step 2: Convert to fraction form
    140,334.62/193,674.93 = 76,681.85/x
  3. Step 3: Cross multiply
    140,334.62x = 193,674.93 × 76,681.85
  4. Step 4: Simplify right side
    140,334.62x = 14,851,351,931.02
  5. Step 5: Solve for x
    x = 14,851,351,931.02/140,334.62
  6. Step 6: Final answer
    x = 105,828.14

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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.