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Finding the Fourth Proportional to 461,167.36, 691,772.24 and 141,296.32

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Solution

The fourth proportional to 461,167.36, 691,772.24 and 141,296.32 is: 211,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,167.36 : 691,772.24 = 141,296.32 : x
  2. Step 2: Convert to fraction form
    461,167.36/691,772.24 = 141,296.32/x
  3. Step 3: Cross multiply
    461,167.36x = 691,772.24 × 141,296.32
  4. Step 4: Simplify right side
    461,167.36x = 97,744,871,790.16
  5. Step 5: Solve for x
    x = 97,744,871,790.16/461,167.36
  6. Step 6: Final answer
    x = 211,950.98

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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.