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Finding the Fourth Proportional to 298,853.15, 448,332.98 and 99,185.31

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Solution

The fourth proportional to 298,853.15, 448,332.98 and 99,185.31 is: 148,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,853.15 : 448,332.98 = 99,185.31 : x
  2. Step 2: Convert to fraction form
    298,853.15/448,332.98 = 99,185.31/x
  3. Step 3: Cross multiply
    298,853.15x = 448,332.98 × 99,185.31
  4. Step 4: Simplify right side
    298,853.15x = 44,468,045,108.60
  5. Step 5: Solve for x
    x = 44,468,045,108.60/298,853.15
  6. Step 6: Final answer
    x = 148,795.64

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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.