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Finding the Fourth Proportional to 228,399.85, 342,461.04 and 114,415.09

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Solution

The fourth proportional to 228,399.85, 342,461.04 and 114,415.09 is: 171,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,399.85 : 342,461.04 = 114,415.09 : x
  2. Step 2: Convert to fraction form
    228,399.85/342,461.04 = 114,415.09/x
  3. Step 3: Cross multiply
    228,399.85x = 342,461.04 × 114,415.09
  4. Step 4: Simplify right side
    228,399.85x = 39,182,711,886.40
  5. Step 5: Solve for x
    x = 39,182,711,886.40/228,399.85
  6. Step 6: Final answer
    x = 171,553.14

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1.5x scale

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.