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Finding the Fourth Proportional to 109,784.66, 151,502.85 and 59,483.66

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Solution

The fourth proportional to 109,784.66, 151,502.85 and 59,483.66 is: 82,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,784.66 : 151,502.85 = 59,483.66 : x
  2. Step 2: Convert to fraction form
    109,784.66/151,502.85 = 59,483.66/x
  3. Step 3: Cross multiply
    109,784.66x = 151,502.85 × 59,483.66
  4. Step 4: Simplify right side
    109,784.66x = 9,011,943,260.92
  5. Step 5: Solve for x
    x = 9,011,943,260.92/109,784.66
  6. Step 6: Final answer
    x = 82,087.46

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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.