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Finding the Fourth Proportional to 199,477.48, 298,931.10 and 146,471.08

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Solution

The fourth proportional to 199,477.48, 298,931.10 and 146,471.08 is: 219,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,477.48 : 298,931.10 = 146,471.08 : x
  2. Step 2: Convert to fraction form
    199,477.48/298,931.10 = 146,471.08/x
  3. Step 3: Cross multiply
    199,477.48x = 298,931.10 × 146,471.08
  4. Step 4: Simplify right side
    199,477.48x = 43,784,761,062.59
  5. Step 5: Solve for x
    x = 43,784,761,062.59/199,477.48
  6. Step 6: Final answer
    x = 219,497.26

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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.