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Finding the Fourth Proportional to 194,953.80, 292,430.70 and 82,614.90

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Solution

The fourth proportional to 194,953.80, 292,430.70 and 82,614.90 is: 123,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,953.80 : 292,430.70 = 82,614.90 : x
  2. Step 2: Convert to fraction form
    194,953.80/292,430.70 = 82,614.90/x
  3. Step 3: Cross multiply
    194,953.80x = 292,430.70 × 82,614.90
  4. Step 4: Simplify right side
    194,953.80x = 24,159,133,037.43
  5. Step 5: Solve for x
    x = 24,159,133,037.43/194,953.80
  6. Step 6: Final answer
    x = 123,922.35

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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.