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Finding the Fourth Proportional to 298,866.96, 448,133.82 and 99,078.60

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Solution

The fourth proportional to 298,866.96, 448,133.82 and 99,078.60 is: 148,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,866.96 : 448,133.82 = 99,078.60 : x
  2. Step 2: Convert to fraction form
    298,866.96/448,133.82 = 99,078.60/x
  3. Step 3: Cross multiply
    298,866.96x = 448,133.82 × 99,078.60
  4. Step 4: Simplify right side
    298,866.96x = 44,400,471,498.25
  5. Step 5: Solve for x
    x = 44,400,471,498.25/298,866.96
  6. Step 6: Final answer
    x = 148,562.66

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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.