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Finding the Fourth Proportional to 475,701.22, 713,656.78 and 138,768.26

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Solution

The fourth proportional to 475,701.22, 713,656.78 and 138,768.26 is: 208,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,701.22 : 713,656.78 = 138,768.26 : x
  2. Step 2: Convert to fraction form
    475,701.22/713,656.78 = 138,768.26/x
  3. Step 3: Cross multiply
    475,701.22x = 713,656.78 × 138,768.26
  4. Step 4: Simplify right side
    475,701.22x = 99,032,905,682.60
  5. Step 5: Solve for x
    x = 99,032,905,682.60/475,701.22
  6. Step 6: Final answer
    x = 208,183.00

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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.