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Finding the Fourth Proportional to 181,130.56, 271,806.40 and 114,478.90

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Solution

The fourth proportional to 181,130.56, 271,806.40 and 114,478.90 is: 171,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,130.56 : 271,806.40 = 114,478.90 : x
  2. Step 2: Convert to fraction form
    181,130.56/271,806.40 = 114,478.90/x
  3. Step 3: Cross multiply
    181,130.56x = 271,806.40 × 114,478.90
  4. Step 4: Simplify right side
    181,130.56x = 31,116,097,684.96
  5. Step 5: Solve for x
    x = 31,116,097,684.96/181,130.56
  6. Step 6: Final answer
    x = 171,788.23

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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.