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Finding the Fourth Proportional to 536,657.76, 805,014.24 and 137,301.96

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Solution

The fourth proportional to 536,657.76, 805,014.24 and 137,301.96 is: 205,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,657.76 : 805,014.24 = 137,301.96 : x
  2. Step 2: Convert to fraction form
    536,657.76/805,014.24 = 137,301.96/x
  3. Step 3: Cross multiply
    536,657.76x = 805,014.24 × 137,301.96
  4. Step 4: Simplify right side
    536,657.76x = 110,530,032,979.91
  5. Step 5: Solve for x
    x = 110,530,032,979.91/536,657.76
  6. Step 6: Final answer
    x = 205,960.00

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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.