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Finding the Fourth Proportional to 140,543.40, 193,948.32 and 76,880.43

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Solution

The fourth proportional to 140,543.40, 193,948.32 and 76,880.43 is: 106,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,543.40 : 193,948.32 = 76,880.43 : x
  2. Step 2: Convert to fraction form
    140,543.40/193,948.32 = 76,880.43/x
  3. Step 3: Cross multiply
    140,543.40x = 193,948.32 × 76,880.43
  4. Step 4: Simplify right side
    140,543.40x = 14,910,830,239.38
  5. Step 5: Solve for x
    x = 14,910,830,239.38/140,543.40
  6. Step 6: Final answer
    x = 106,094.13

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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.