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Finding the Fourth Proportional to 185,433.90, 278,442.45 and 106,701.90

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Solution

The fourth proportional to 185,433.90, 278,442.45 and 106,701.90 is: 160,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,433.90 : 278,442.45 = 106,701.90 : x
  2. Step 2: Convert to fraction form
    185,433.90/278,442.45 = 106,701.90/x
  3. Step 3: Cross multiply
    185,433.90x = 278,442.45 × 106,701.90
  4. Step 4: Simplify right side
    185,433.90x = 29,710,338,455.66
  5. Step 5: Solve for x
    x = 29,710,338,455.66/185,433.90
  6. Step 6: Final answer
    x = 160,220.64

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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.