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Finding the Fourth Proportional to 162,005.67, 223,422.30 and 101,582.91

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Solution

The fourth proportional to 162,005.67, 223,422.30 and 101,582.91 is: 140,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,005.67 : 223,422.30 = 101,582.91 : x
  2. Step 2: Convert to fraction form
    162,005.67/223,422.30 = 101,582.91/x
  3. Step 3: Cross multiply
    162,005.67x = 223,422.30 × 101,582.91
  4. Step 4: Simplify right side
    162,005.67x = 22,695,887,392.89
  5. Step 5: Solve for x
    x = 22,695,887,392.89/162,005.67
  6. Step 6: Final answer
    x = 140,093.17

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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.