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Finding the Fourth Proportional to 135,683.04, 187,222.32 and 77,535.48

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Solution

The fourth proportional to 135,683.04, 187,222.32 and 77,535.48 is: 106,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,683.04 : 187,222.32 = 77,535.48 : x
  2. Step 2: Convert to fraction form
    135,683.04/187,222.32 = 77,535.48/x
  3. Step 3: Cross multiply
    135,683.04x = 187,222.32 × 77,535.48
  4. Step 4: Simplify right side
    135,683.04x = 14,516,372,447.91
  5. Step 5: Solve for x
    x = 14,516,372,447.91/135,683.04
  6. Step 6: Final answer
    x = 106,987.38

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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.