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Finding the Fourth Proportional to 297,037.52, 445,582.46 and 83,807.30

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Solution

The fourth proportional to 297,037.52, 445,582.46 and 83,807.30 is: 125,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,037.52 : 445,582.46 = 83,807.30 : x
  2. Step 2: Convert to fraction form
    297,037.52/445,582.46 = 83,807.30/x
  3. Step 3: Cross multiply
    297,037.52x = 445,582.46 × 83,807.30
  4. Step 4: Simplify right side
    297,037.52x = 37,343,060,253.01
  5. Step 5: Solve for x
    x = 37,343,060,253.01/297,037.52
  6. Step 6: Final answer
    x = 125,718.33

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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.