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Finding the Fourth Proportional to 145,863.26, 201,291.48 and 78,795.26

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Solution

The fourth proportional to 145,863.26, 201,291.48 and 78,795.26 is: 108,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.26 : 201,291.48 = 78,795.26 : x
  2. Step 2: Convert to fraction form
    145,863.26/201,291.48 = 78,795.26/x
  3. Step 3: Cross multiply
    145,863.26x = 201,291.48 × 78,795.26
  4. Step 4: Simplify right side
    145,863.26x = 15,860,814,502.38
  5. Step 5: Solve for x
    x = 15,860,814,502.38/145,863.26
  6. Step 6: Final answer
    x = 108,737.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.