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Finding the Fourth Proportional to 134,712, 202,076.10 and 41,218.56

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Solution

The fourth proportional to 134,712, 202,076.10 and 41,218.56 is: 61,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,712 : 202,076.10 = 41,218.56 : x
  2. Step 2: Convert to fraction form
    134,712/202,076.10 = 41,218.56/x
  3. Step 3: Cross multiply
    134,712x = 202,076.10 × 41,218.56
  4. Step 4: Simplify right side
    134,712x = 8,329,285,852.42
  5. Step 5: Solve for x
    x = 8,329,285,852.42/134,712
  6. Step 6: Final answer
    x = 61,830.32

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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.