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Finding the Fourth Proportional to 201,909.65, 278,637.14 and 111,268.86

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Solution

The fourth proportional to 201,909.65, 278,637.14 and 111,268.86 is: 153,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909.65 : 278,637.14 = 111,268.86 : x
  2. Step 2: Convert to fraction form
    201,909.65/278,637.14 = 111,268.86/x
  3. Step 3: Cross multiply
    201,909.65x = 278,637.14 × 111,268.86
  4. Step 4: Simplify right side
    201,909.65x = 31,003,636,782.37
  5. Step 5: Solve for x
    x = 31,003,636,782.37/201,909.65
  6. Step 6: Final answer
    x = 153,552.03

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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.