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Finding the Fourth Proportional to 201,968.03, 278,703.20 and 111,319.00

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Solution

The fourth proportional to 201,968.03, 278,703.20 and 111,319.00 is: 153,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,968.03 : 278,703.20 = 111,319.00 : x
  2. Step 2: Convert to fraction form
    201,968.03/278,703.20 = 111,319.00/x
  3. Step 3: Cross multiply
    201,968.03x = 278,703.20 × 111,319.00
  4. Step 4: Simplify right side
    201,968.03x = 31,024,961,102.34
  5. Step 5: Solve for x
    x = 31,024,961,102.34/201,968.03
  6. Step 6: Final answer
    x = 153,613.23

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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.