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Finding the Fourth Proportional to 536,772.66, 805,140.44 and 137,416.86

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Solution

The fourth proportional to 536,772.66, 805,140.44 and 137,416.86 is: 206,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,772.66 : 805,140.44 = 137,416.86 : x
  2. Step 2: Convert to fraction form
    536,772.66/805,140.44 = 137,416.86/x
  3. Step 3: Cross multiply
    536,772.66x = 805,140.44 × 137,416.86
  4. Step 4: Simplify right side
    536,772.66x = 110,639,871,123.82
  5. Step 5: Solve for x
    x = 110,639,871,123.82/536,772.66
  6. Step 6: Final answer
    x = 206,120.54

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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.