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Finding the Fourth Proportional to 296,282.88, 444,510.38 and 106,739.64

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Solution

The fourth proportional to 296,282.88, 444,510.38 and 106,739.64 is: 160,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,282.88 : 444,510.38 = 106,739.64 : x
  2. Step 2: Convert to fraction form
    296,282.88/444,510.38 = 106,739.64/x
  3. Step 3: Cross multiply
    296,282.88x = 444,510.38 × 106,739.64
  4. Step 4: Simplify right side
    296,282.88x = 47,446,875,714.91
  5. Step 5: Solve for x
    x = 47,446,875,714.91/296,282.88
  6. Step 6: Final answer
    x = 160,140.46

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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.