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Finding the Fourth Proportional to 162,209.86, 223,856 and 93,299.21

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Solution

The fourth proportional to 162,209.86, 223,856 and 93,299.21 is: 128,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,209.86 : 223,856 = 93,299.21 : x
  2. Step 2: Convert to fraction form
    162,209.86/223,856 = 93,299.21/x
  3. Step 3: Cross multiply
    162,209.86x = 223,856 × 93,299.21
  4. Step 4: Simplify right side
    162,209.86x = 20,885,587,953.76
  5. Step 5: Solve for x
    x = 20,885,587,953.76/162,209.86
  6. Step 6: Final answer
    x = 128,756.59

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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.