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Finding the Fourth Proportional to 231,182, 346,773 and 64,970

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Solution

The fourth proportional to 231,182, 346,773 and 64,970 is: 97,455

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,182 : 346,773 = 64,970 : x
  2. Step 2: Convert to fraction form
    231,182/346,773 = 64,970/x
  3. Step 3: Cross multiply
    231,182x = 346,773 × 64,970
  4. Step 4: Simplify right side
    231,182x = 22,529,841,810
  5. Step 5: Solve for x
    x = 22,529,841,810/231,182
  6. Step 6: Final answer
    x = 97,455

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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.