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Finding the Fourth Proportional to 109,784.15, 151,502.16 and 59,483.15

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Solution

The fourth proportional to 109,784.15, 151,502.16 and 59,483.15 is: 82,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,784.15 : 151,502.16 = 59,483.15 : x
  2. Step 2: Convert to fraction form
    109,784.15/151,502.16 = 59,483.15/x
  3. Step 3: Cross multiply
    109,784.15x = 151,502.16 × 59,483.15
  4. Step 4: Simplify right side
    109,784.15x = 9,011,825,708.60
  5. Step 5: Solve for x
    x = 9,011,825,708.60/109,784.15
  6. Step 6: Final answer
    x = 82,086.76

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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.