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Finding the Fourth Proportional to 152,195.40, 227,855.70 and 93,146.40

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Solution

The fourth proportional to 152,195.40, 227,855.70 and 93,146.40 is: 139,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,195.40 : 227,855.70 = 93,146.40 : x
  2. Step 2: Convert to fraction form
    152,195.40/227,855.70 = 93,146.40/x
  3. Step 3: Cross multiply
    152,195.40x = 227,855.70 × 93,146.40
  4. Step 4: Simplify right side
    152,195.40x = 21,223,938,174.48
  5. Step 5: Solve for x
    x = 21,223,938,174.48/152,195.40
  6. Step 6: Final answer
    x = 139,451.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.