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Finding the Fourth Proportional to 105,603.63, 158,405.64 and 25,641.26

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Solution

The fourth proportional to 105,603.63, 158,405.64 and 25,641.26 is: 38,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,603.63 : 158,405.64 = 25,641.26 : x
  2. Step 2: Convert to fraction form
    105,603.63/158,405.64 = 25,641.26/x
  3. Step 3: Cross multiply
    105,603.63x = 158,405.64 × 25,641.26
  4. Step 4: Simplify right side
    105,603.63x = 4,061,719,408.68
  5. Step 5: Solve for x
    x = 4,061,719,408.68/105,603.63
  6. Step 6: Final answer
    x = 38,461.93

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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.