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Finding the Fourth Proportional to 461,164.34, 691,767.72 and 141,293.30

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Solution

The fourth proportional to 461,164.34, 691,767.72 and 141,293.30 is: 211,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,164.34 : 691,767.72 = 141,293.30 : x
  2. Step 2: Convert to fraction form
    461,164.34/691,767.72 = 141,293.30/x
  3. Step 3: Cross multiply
    461,164.34x = 691,767.72 × 141,293.30
  4. Step 4: Simplify right side
    461,164.34x = 97,742,143,992.28
  5. Step 5: Solve for x
    x = 97,742,143,992.28/461,164.34
  6. Step 6: Final answer
    x = 211,946.45

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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.