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Finding the Fourth Proportional to 231,184, 346,776 and 64,972

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Solution

The fourth proportional to 231,184, 346,776 and 64,972 is: 97,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,184 : 346,776 = 64,972 : x
  2. Step 2: Convert to fraction form
    231,184/346,776 = 64,972/x
  3. Step 3: Cross multiply
    231,184x = 346,776 × 64,972
  4. Step 4: Simplify right side
    231,184x = 22,530,730,272
  5. Step 5: Solve for x
    x = 22,530,730,272/231,184
  6. Step 6: Final answer
    x = 97,458

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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.