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Finding the Fourth Proportional to 157,005.12, 216,664.83 and 85,385.73

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Solution

The fourth proportional to 157,005.12, 216,664.83 and 85,385.73 is: 117,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,005.12 : 216,664.83 = 85,385.73 : x
  2. Step 2: Convert to fraction form
    157,005.12/216,664.83 = 85,385.73/x
  3. Step 3: Cross multiply
    157,005.12x = 216,664.83 × 85,385.73
  4. Step 4: Simplify right side
    157,005.12x = 18,500,084,674.88
  5. Step 5: Solve for x
    x = 18,500,084,674.88/157,005.12
  6. Step 6: Final answer
    x = 117,831.09

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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.