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Finding the Fourth Proportional to 491,051, 736,574.46 and 136,064

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Solution

The fourth proportional to 491,051, 736,574.46 and 136,064 is: 204,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,051 : 736,574.46 = 136,064 : x
  2. Step 2: Convert to fraction form
    491,051/736,574.46 = 136,064/x
  3. Step 3: Cross multiply
    491,051x = 736,574.46 × 136,064
  4. Step 4: Simplify right side
    491,051x = 100,221,267,325.44
  5. Step 5: Solve for x
    x = 100,221,267,325.44/491,051
  6. Step 6: Final answer
    x = 204,095.43

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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.