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Finding the Fourth Proportional to 140,117.40, 193,364.82 and 76,457.88

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Solution

The fourth proportional to 140,117.40, 193,364.82 and 76,457.88 is: 105,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,117.40 : 193,364.82 = 76,457.88 : x
  2. Step 2: Convert to fraction form
    140,117.40/193,364.82 = 76,457.88/x
  3. Step 3: Cross multiply
    140,117.40x = 193,364.82 × 76,457.88
  4. Step 4: Simplify right side
    140,117.40x = 14,784,264,203.78
  5. Step 5: Solve for x
    x = 14,784,264,203.78/140,117.40
  6. Step 6: Final answer
    x = 105,513.41

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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.