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Finding the Fourth Proportional to 216,484.64, 324,574.32 and 83,252.96

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Solution

The fourth proportional to 216,484.64, 324,574.32 and 83,252.96 is: 124,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,484.64 : 324,574.32 = 83,252.96 : x
  2. Step 2: Convert to fraction form
    216,484.64/324,574.32 = 83,252.96/x
  3. Step 3: Cross multiply
    216,484.64x = 324,574.32 × 83,252.96
  4. Step 4: Simplify right side
    216,484.64x = 27,021,772,879.99
  5. Step 5: Solve for x
    x = 27,021,772,879.99/216,484.64
  6. Step 6: Final answer
    x = 124,820.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.