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Finding the Fourth Proportional to 613,253.84, 919,808.31 and 164,009.53

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Solution

The fourth proportional to 613,253.84, 919,808.31 and 164,009.53 is: 245,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,253.84 : 919,808.31 = 164,009.53 : x
  2. Step 2: Convert to fraction form
    613,253.84/919,808.31 = 164,009.53/x
  3. Step 3: Cross multiply
    613,253.84x = 919,808.31 × 164,009.53
  4. Step 4: Simplify right side
    613,253.84x = 150,857,328,613.19
  5. Step 5: Solve for x
    x = 150,857,328,613.19/613,253.84
  6. Step 6: Final answer
    x = 245,994.92

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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.