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Finding the Fourth Proportional to 105,133.50, 157,694.49 and 42,856.38

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Solution

The fourth proportional to 105,133.50, 157,694.49 and 42,856.38 is: 64,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,133.50 : 157,694.49 = 42,856.38 : x
  2. Step 2: Convert to fraction form
    105,133.50/157,694.49 = 42,856.38/x
  3. Step 3: Cross multiply
    105,133.50x = 157,694.49 × 42,856.38
  4. Step 4: Simplify right side
    105,133.50x = 6,758,214,987.35
  5. Step 5: Solve for x
    x = 6,758,214,987.35/105,133.50
  6. Step 6: Final answer
    x = 64,282.22

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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.