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Finding the Fourth Proportional to 194,609.80, 291,300.30 and 188,465.80

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Solution

The fourth proportional to 194,609.80, 291,300.30 and 188,465.80 is: 282,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,609.80 : 291,300.30 = 188,465.80 : x
  2. Step 2: Convert to fraction form
    194,609.80/291,300.30 = 188,465.80/x
  3. Step 3: Cross multiply
    194,609.80x = 291,300.30 × 188,465.80
  4. Step 4: Simplify right side
    194,609.80x = 54,900,144,079.74
  5. Step 5: Solve for x
    x = 54,900,144,079.74/194,609.80
  6. Step 6: Final answer
    x = 282,103.70

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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.