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Finding the Fourth Proportional to 188,165.94, 282,248.96 and 83,058.72

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Solution

The fourth proportional to 188,165.94, 282,248.96 and 83,058.72 is: 124,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,165.94 : 282,248.96 = 83,058.72 : x
  2. Step 2: Convert to fraction form
    188,165.94/282,248.96 = 83,058.72/x
  3. Step 3: Cross multiply
    188,165.94x = 282,248.96 × 83,058.72
  4. Step 4: Simplify right side
    188,165.94x = 23,443,235,865.20
  5. Step 5: Solve for x
    x = 23,443,235,865.20/188,165.94
  6. Step 6: Final answer
    x = 124,588.10

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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.