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Finding the Fourth Proportional to 157,383.86, 217,184.22 and 85,762.44

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Solution

The fourth proportional to 157,383.86, 217,184.22 and 85,762.44 is: 118,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,383.86 : 217,184.22 = 85,762.44 : x
  2. Step 2: Convert to fraction form
    157,383.86/217,184.22 = 85,762.44/x
  3. Step 3: Cross multiply
    157,383.86x = 217,184.22 × 85,762.44
  4. Step 4: Simplify right side
    157,383.86x = 18,626,248,636.70
  5. Step 5: Solve for x
    x = 18,626,248,636.70/157,383.86
  6. Step 6: Final answer
    x = 118,349.17

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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.