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Finding the Fourth Proportional to 140,152.72, 193,411.44 and 76,492

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Solution

The fourth proportional to 140,152.72, 193,411.44 and 76,492 is: 105,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,152.72 : 193,411.44 = 76,492 : x
  2. Step 2: Convert to fraction form
    140,152.72/193,411.44 = 76,492/x
  3. Step 3: Cross multiply
    140,152.72x = 193,411.44 × 76,492
  4. Step 4: Simplify right side
    140,152.72x = 14,794,427,868.48
  5. Step 5: Solve for x
    x = 14,794,427,868.48/140,152.72
  6. Step 6: Final answer
    x = 105,559.33

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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.