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Finding the Fourth Proportional to 160,447.37, 221,416.61 and 86,859.61

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Solution

The fourth proportional to 160,447.37, 221,416.61 and 86,859.61 is: 119,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,447.37 : 221,416.61 = 86,859.61 : x
  2. Step 2: Convert to fraction form
    160,447.37/221,416.61 = 86,859.61/x
  3. Step 3: Cross multiply
    160,447.37x = 221,416.61 × 86,859.61
  4. Step 4: Simplify right side
    160,447.37x = 19,232,159,404.28
  5. Step 5: Solve for x
    x = 19,232,159,404.28/160,447.37
  6. Step 6: Final answer
    x = 119,865.85

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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.