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Finding the Fourth Proportional to 181,202.90, 271,804.26 and 56,543.90

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Solution

The fourth proportional to 181,202.90, 271,804.26 and 56,543.90 is: 84,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,202.90 : 271,804.26 = 56,543.90 : x
  2. Step 2: Convert to fraction form
    181,202.90/271,804.26 = 56,543.90/x
  3. Step 3: Cross multiply
    181,202.90x = 271,804.26 × 56,543.90
  4. Step 4: Simplify right side
    181,202.90x = 15,368,872,897.01
  5. Step 5: Solve for x
    x = 15,368,872,897.01/181,202.90
  6. Step 6: Final answer
    x = 84,815.82

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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.