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Finding the Fourth Proportional to 536,867.63, 805,283 and 137,511.87

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Solution

The fourth proportional to 536,867.63, 805,283 and 137,511.87 is: 206,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,867.63 : 805,283 = 137,511.87 : x
  2. Step 2: Convert to fraction form
    536,867.63/805,283 = 137,511.87/x
  3. Step 3: Cross multiply
    536,867.63x = 805,283 × 137,511.87
  4. Step 4: Simplify right side
    536,867.63x = 110,735,971,209.21
  5. Step 5: Solve for x
    x = 110,735,971,209.21/536,867.63
  6. Step 6: Final answer
    x = 206,263.08

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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.