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Finding the Fourth Proportional to 105,503.16, 158,254.05 and 26,617.46

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Solution

The fourth proportional to 105,503.16, 158,254.05 and 26,617.46 is: 39,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,503.16 : 158,254.05 = 26,617.46 : x
  2. Step 2: Convert to fraction form
    105,503.16/158,254.05 = 26,617.46/x
  3. Step 3: Cross multiply
    105,503.16x = 158,254.05 × 26,617.46
  4. Step 4: Simplify right side
    105,503.16x = 4,212,321,044.44
  5. Step 5: Solve for x
    x = 4,212,321,044.44/105,503.16
  6. Step 6: Final answer
    x = 39,926.02

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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.