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Finding the Fourth Proportional to 134,202.52, 185,199.30 and 73,777

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Solution

The fourth proportional to 134,202.52, 185,199.30 and 73,777 is: 101,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,202.52 : 185,199.30 = 73,777 : x
  2. Step 2: Convert to fraction form
    134,202.52/185,199.30 = 73,777/x
  3. Step 3: Cross multiply
    134,202.52x = 185,199.30 × 73,777
  4. Step 4: Simplify right side
    134,202.52x = 13,663,448,756.10
  5. Step 5: Solve for x
    x = 13,663,448,756.10/134,202.52
  6. Step 6: Final answer
    x = 101,812.16

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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.