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Finding the Fourth Proportional to 160,287.36, 240,342.17 and 65,583.98

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Solution

The fourth proportional to 160,287.36, 240,342.17 and 65,583.98 is: 98,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,287.36 : 240,342.17 = 65,583.98 : x
  2. Step 2: Convert to fraction form
    160,287.36/240,342.17 = 65,583.98/x
  3. Step 3: Cross multiply
    160,287.36x = 240,342.17 × 65,583.98
  4. Step 4: Simplify right side
    160,287.36x = 15,762,596,070.44
  5. Step 5: Solve for x
    x = 15,762,596,070.44/160,287.36
  6. Step 6: Final answer
    x = 98,339.61

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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.