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Finding the Fourth Proportional to 198,562.10, 274,055.54 and 117,974.10

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Solution

The fourth proportional to 198,562.10, 274,055.54 and 117,974.10 is: 162,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,562.10 : 274,055.54 = 117,974.10 : x
  2. Step 2: Convert to fraction form
    198,562.10/274,055.54 = 117,974.10/x
  3. Step 3: Cross multiply
    198,562.10x = 274,055.54 × 117,974.10
  4. Step 4: Simplify right side
    198,562.10x = 32,331,455,681.51
  5. Step 5: Solve for x
    x = 32,331,455,681.51/198,562.10
  6. Step 6: Final answer
    x = 162,827.93

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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.