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Finding the Fourth Proportional to 201,967.96, 278,703.10 and 111,318.94

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Solution

The fourth proportional to 201,967.96, 278,703.10 and 111,318.94 is: 153,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,967.96 : 278,703.10 = 111,318.94 : x
  2. Step 2: Convert to fraction form
    201,967.96/278,703.10 = 111,318.94/x
  3. Step 3: Cross multiply
    201,967.96x = 278,703.10 × 111,318.94
  4. Step 4: Simplify right side
    201,967.96x = 31,024,933,666.71
  5. Step 5: Solve for x
    x = 31,024,933,666.71/201,967.96
  6. Step 6: Final answer
    x = 153,613.15

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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.