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Finding the Fourth Proportional to 231,180, 346,770 and 64,968

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Solution

The fourth proportional to 231,180, 346,770 and 64,968 is: 97,452

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,180 : 346,770 = 64,968 : x
  2. Step 2: Convert to fraction form
    231,180/346,770 = 64,968/x
  3. Step 3: Cross multiply
    231,180x = 346,770 × 64,968
  4. Step 4: Simplify right side
    231,180x = 22,528,953,360
  5. Step 5: Solve for x
    x = 22,528,953,360/231,180
  6. Step 6: Final answer
    x = 97,452

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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.