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Finding the Fourth Proportional to 228,798.72, 342,993.90 and 116,416.08

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Solution

The fourth proportional to 228,798.72, 342,993.90 and 116,416.08 is: 174,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,798.72 : 342,993.90 = 116,416.08 : x
  2. Step 2: Convert to fraction form
    228,798.72/342,993.90 = 116,416.08/x
  3. Step 3: Cross multiply
    228,798.72x = 342,993.90 × 116,416.08
  4. Step 4: Simplify right side
    228,798.72x = 39,930,005,301.91
  5. Step 5: Solve for x
    x = 39,930,005,301.91/228,798.72
  6. Step 6: Final answer
    x = 174,520.23

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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.