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Finding the Fourth Proportional to 105,281, 157,932.12 and 34,200.68

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Solution

The fourth proportional to 105,281, 157,932.12 and 34,200.68 is: 51,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,281 : 157,932.12 = 34,200.68 : x
  2. Step 2: Convert to fraction form
    105,281/157,932.12 = 34,200.68/x
  3. Step 3: Cross multiply
    105,281x = 157,932.12 × 34,200.68
  4. Step 4: Simplify right side
    105,281x = 5,401,385,897.84
  5. Step 5: Solve for x
    x = 5,401,385,897.84/105,281
  6. Step 6: Final answer
    x = 51,304.47

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