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Finding the Fourth Proportional to 231,126.96, 346,703.40 and 64,902

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Solution

The fourth proportional to 231,126.96, 346,703.40 and 64,902 is: 97,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,126.96 : 346,703.40 = 64,902 : x
  2. Step 2: Convert to fraction form
    231,126.96/346,703.40 = 64,902/x
  3. Step 3: Cross multiply
    231,126.96x = 346,703.40 × 64,902
  4. Step 4: Simplify right side
    231,126.96x = 22,501,744,066.80
  5. Step 5: Solve for x
    x = 22,501,744,066.80/231,126.96
  6. Step 6: Final answer
    x = 97,356.64

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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.