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Finding the Fourth Proportional to 140,757.71, 194,239.23 and 77,094.14

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Solution

The fourth proportional to 140,757.71, 194,239.23 and 77,094.14 is: 106,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,757.71 : 194,239.23 = 77,094.14 : x
  2. Step 2: Convert to fraction form
    140,757.71/194,239.23 = 77,094.14/x
  3. Step 3: Cross multiply
    140,757.71x = 194,239.23 × 77,094.14
  4. Step 4: Simplify right side
    140,757.71x = 14,974,706,391.11
  5. Step 5: Solve for x
    x = 14,974,706,391.11/140,757.71
  6. Step 6: Final answer
    x = 106,386.40

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1.5x scale

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.