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Finding the Fourth Proportional to 153,214.86, 211,410.78 and 85,222.86

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Solution

The fourth proportional to 153,214.86, 211,410.78 and 85,222.86 is: 117,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,214.86 : 211,410.78 = 85,222.86 : x
  2. Step 2: Convert to fraction form
    153,214.86/211,410.78 = 85,222.86/x
  3. Step 3: Cross multiply
    153,214.86x = 211,410.78 × 85,222.86
  4. Step 4: Simplify right side
    153,214.86x = 18,017,031,306.43
  5. Step 5: Solve for x
    x = 18,017,031,306.43/153,214.86
  6. Step 6: Final answer
    x = 117,593.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.