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Finding the Fourth Proportional to 536,697.76, 805,074.24 and 137,342.08

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Solution

The fourth proportional to 536,697.76, 805,074.24 and 137,342.08 is: 206,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,697.76 : 805,074.24 = 137,342.08 : x
  2. Step 2: Convert to fraction form
    536,697.76/805,074.24 = 137,342.08/x
  3. Step 3: Cross multiply
    536,697.76x = 805,074.24 × 137,342.08
  4. Step 4: Simplify right side
    536,697.76x = 110,570,570,676.02
  5. Step 5: Solve for x
    x = 110,570,570,676.02/536,697.76
  6. Step 6: Final answer
    x = 206,020.18

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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.