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Finding the Fourth Proportional to 201,898.90, 278,632.88 and 111,254.82

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Solution

The fourth proportional to 201,898.90, 278,632.88 and 111,254.82 is: 153,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,898.90 : 278,632.88 = 111,254.82 : x
  2. Step 2: Convert to fraction form
    201,898.90/278,632.88 = 111,254.82/x
  3. Step 3: Cross multiply
    201,898.90x = 278,632.88 × 111,254.82
  4. Step 4: Simplify right side
    201,898.90x = 30,999,248,961.04
  5. Step 5: Solve for x
    x = 30,999,248,961.04/201,898.90
  6. Step 6: Final answer
    x = 153,538.47

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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.