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Finding the Fourth Proportional to 108,187, 162,280.50 and 38,058.28

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Solution

The fourth proportional to 108,187, 162,280.50 and 38,058.28 is: 57,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,187 : 162,280.50 = 38,058.28 : x
  2. Step 2: Convert to fraction form
    108,187/162,280.50 = 38,058.28/x
  3. Step 3: Cross multiply
    108,187x = 162,280.50 × 38,058.28
  4. Step 4: Simplify right side
    108,187x = 6,176,116,707.54
  5. Step 5: Solve for x
    x = 6,176,116,707.54/108,187
  6. Step 6: Final answer
    x = 57,087.42

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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.