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Finding the Fourth Proportional to 185,896.40, 278,537.40 and 158,248.40

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Solution

The fourth proportional to 185,896.40, 278,537.40 and 158,248.40 is: 237,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,896.40 : 278,537.40 = 158,248.40 : x
  2. Step 2: Convert to fraction form
    185,896.40/278,537.40 = 158,248.40/x
  3. Step 3: Cross multiply
    185,896.40x = 278,537.40 × 158,248.40
  4. Step 4: Simplify right side
    185,896.40x = 44,078,097,890.16
  5. Step 5: Solve for x
    x = 44,078,097,890.16/185,896.40
  6. Step 6: Final answer
    x = 237,111.09

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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.