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Finding the Fourth Proportional to 190,743.80, 286,115.70 and 146,593.40

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Solution

The fourth proportional to 190,743.80, 286,115.70 and 146,593.40 is: 219,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,743.80 : 286,115.70 = 146,593.40 : x
  2. Step 2: Convert to fraction form
    190,743.80/286,115.70 = 146,593.40/x
  3. Step 3: Cross multiply
    190,743.80x = 286,115.70 × 146,593.40
  4. Step 4: Simplify right side
    190,743.80x = 41,942,673,256.38
  5. Step 5: Solve for x
    x = 41,942,673,256.38/190,743.80
  6. Step 6: Final answer
    x = 219,890.10

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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.