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Finding the Fourth Proportional to 201,707.76, 278,363.40 and 111,070.44

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Solution

The fourth proportional to 201,707.76, 278,363.40 and 111,070.44 is: 153,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,707.76 : 278,363.40 = 111,070.44 : x
  2. Step 2: Convert to fraction form
    201,707.76/278,363.40 = 111,070.44/x
  3. Step 3: Cross multiply
    201,707.76x = 278,363.40 × 111,070.44
  4. Step 4: Simplify right side
    201,707.76x = 30,917,945,317.90
  5. Step 5: Solve for x
    x = 30,917,945,317.90/201,707.76
  6. Step 6: Final answer
    x = 153,280.89

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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.