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Finding the Fourth Proportional to 105,378.42, 158,129.86 and 38,865

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Solution

The fourth proportional to 105,378.42, 158,129.86 and 38,865 is: 58,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,378.42 : 158,129.86 = 38,865 : x
  2. Step 2: Convert to fraction form
    105,378.42/158,129.86 = 38,865/x
  3. Step 3: Cross multiply
    105,378.42x = 158,129.86 × 38,865
  4. Step 4: Simplify right side
    105,378.42x = 6,145,717,008.90
  5. Step 5: Solve for x
    x = 6,145,717,008.90/105,378.42
  6. Step 6: Final answer
    x = 58,320.45

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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.