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Finding the Fourth Proportional to 105,459.68, 158,203.44 and 38,946.56

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Solution

The fourth proportional to 105,459.68, 158,203.44 and 38,946.56 is: 58,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,459.68 : 158,203.44 = 38,946.56 : x
  2. Step 2: Convert to fraction form
    105,459.68/158,203.44 = 38,946.56/x
  3. Step 3: Cross multiply
    105,459.68x = 158,203.44 × 38,946.56
  4. Step 4: Simplify right side
    105,459.68x = 6,161,479,768.17
  5. Step 5: Solve for x
    x = 6,161,479,768.17/105,459.68
  6. Step 6: Final answer
    x = 58,424.98

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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.