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Finding the Fourth Proportional to 536,904.42, 805,338.10 and 137,549.11

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Solution

The fourth proportional to 536,904.42, 805,338.10 and 137,549.11 is: 206,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,904.42 : 805,338.10 = 137,549.11 : x
  2. Step 2: Convert to fraction form
    536,904.42/805,338.10 = 137,549.11/x
  3. Step 3: Cross multiply
    536,904.42x = 805,338.10 × 137,549.11
  4. Step 4: Simplify right side
    536,904.42x = 110,773,538,904.09
  5. Step 5: Solve for x
    x = 110,773,538,904.09/536,904.42
  6. Step 6: Final answer
    x = 206,318.92

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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.