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Finding the Fourth Proportional to 216,323.52, 324,688.77 and 109,783.95

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Solution

The fourth proportional to 216,323.52, 324,688.77 and 109,783.95 is: 164,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,323.52 : 324,688.77 = 109,783.95 : x
  2. Step 2: Convert to fraction form
    216,323.52/324,688.77 = 109,783.95/x
  3. Step 3: Cross multiply
    216,323.52x = 324,688.77 × 109,783.95
  4. Step 4: Simplify right side
    216,323.52x = 35,645,615,691.24
  5. Step 5: Solve for x
    x = 35,645,615,691.24/216,323.52
  6. Step 6: Final answer
    x = 164,779.20

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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.