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Finding the Fourth Proportional to 438,523.06, 657,784.62 and 106,099.06

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Solution

The fourth proportional to 438,523.06, 657,784.62 and 106,099.06 is: 159,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,523.06 : 657,784.62 = 106,099.06 : x
  2. Step 2: Convert to fraction form
    438,523.06/657,784.62 = 106,099.06/x
  3. Step 3: Cross multiply
    438,523.06x = 657,784.62 × 106,099.06
  4. Step 4: Simplify right side
    438,523.06x = 69,790,331,508.92
  5. Step 5: Solve for x
    x = 69,790,331,508.92/438,523.06
  6. Step 6: Final answer
    x = 159,148.60

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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.