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Finding the Fourth Proportional to 152,207.40, 228,311.10 and 82,223.40

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Solution

The fourth proportional to 152,207.40, 228,311.10 and 82,223.40 is: 123,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,207.40 : 228,311.10 = 82,223.40 : x
  2. Step 2: Convert to fraction form
    152,207.40/228,311.10 = 82,223.40/x
  3. Step 3: Cross multiply
    152,207.40x = 228,311.10 × 82,223.40
  4. Step 4: Simplify right side
    152,207.40x = 18,772,514,899.74
  5. Step 5: Solve for x
    x = 18,772,514,899.74/152,207.40
  6. Step 6: Final answer
    x = 123,335.10

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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.