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Finding the Fourth Proportional to 216,341.96, 298,525.01 and 120,866.63

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Solution

The fourth proportional to 216,341.96, 298,525.01 and 120,866.63 is: 166,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,341.96 : 298,525.01 = 120,866.63 : x
  2. Step 2: Convert to fraction form
    216,341.96/298,525.01 = 120,866.63/x
  3. Step 3: Cross multiply
    216,341.96x = 298,525.01 × 120,866.63
  4. Step 4: Simplify right side
    216,341.96x = 36,081,709,832.46
  5. Step 5: Solve for x
    x = 36,081,709,832.46/216,341.96
  6. Step 6: Final answer
    x = 166,780.92

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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.