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Finding the Fourth Proportional to 153,289.66, 211,543.77 and 85,311.22

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Solution

The fourth proportional to 153,289.66, 211,543.77 and 85,311.22 is: 117,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,289.66 : 211,543.77 = 85,311.22 : x
  2. Step 2: Convert to fraction form
    153,289.66/211,543.77 = 85,311.22/x
  3. Step 3: Cross multiply
    153,289.66x = 211,543.77 × 85,311.22
  4. Step 4: Simplify right side
    153,289.66x = 18,047,057,102.10
  5. Step 5: Solve for x
    x = 18,047,057,102.10/153,289.66
  6. Step 6: Final answer
    x = 117,731.73

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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.