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Finding the Fourth Proportional to 190,034.92, 284,968.14 and 101,271.88

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Solution

The fourth proportional to 190,034.92, 284,968.14 and 101,271.88 is: 151,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,034.92 : 284,968.14 = 101,271.88 : x
  2. Step 2: Convert to fraction form
    190,034.92/284,968.14 = 101,271.88/x
  3. Step 3: Cross multiply
    190,034.92x = 284,968.14 × 101,271.88
  4. Step 4: Simplify right side
    190,034.92x = 28,859,259,277.90
  5. Step 5: Solve for x
    x = 28,859,259,277.90/190,034.92
  6. Step 6: Final answer
    x = 151,862.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.