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Finding the Fourth Proportional to 201,975.59, 278,728.22 and 111,335.11

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Solution

The fourth proportional to 201,975.59, 278,728.22 and 111,335.11 is: 153,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,975.59 : 278,728.22 = 111,335.11 : x
  2. Step 2: Convert to fraction form
    201,975.59/278,728.22 = 111,335.11/x
  3. Step 3: Cross multiply
    201,975.59x = 278,728.22 × 111,335.11
  4. Step 4: Simplify right side
    201,975.59x = 31,032,236,615.32
  5. Step 5: Solve for x
    x = 31,032,236,615.32/201,975.59
  6. Step 6: Final answer
    x = 153,643.50

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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.