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Finding the Fourth Proportional to 201,989.97, 278,733.62 and 111,341.25

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Solution

The fourth proportional to 201,989.97, 278,733.62 and 111,341.25 is: 153,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,989.97 : 278,733.62 = 111,341.25 : x
  2. Step 2: Convert to fraction form
    201,989.97/278,733.62 = 111,341.25/x
  3. Step 3: Cross multiply
    201,989.97x = 278,733.62 × 111,341.25
  4. Step 4: Simplify right side
    201,989.97x = 31,034,549,946.18
  5. Step 5: Solve for x
    x = 31,034,549,946.18/201,989.97
  6. Step 6: Final answer
    x = 153,644.01

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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.