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Finding the Fourth Proportional to 231,011.80, 346,647.30 and 97,869.40

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Solution

The fourth proportional to 231,011.80, 346,647.30 and 97,869.40 is: 146,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,011.80 : 346,647.30 = 97,869.40 : x
  2. Step 2: Convert to fraction form
    231,011.80/346,647.30 = 97,869.40/x
  3. Step 3: Cross multiply
    231,011.80x = 346,647.30 × 97,869.40
  4. Step 4: Simplify right side
    231,011.80x = 33,926,163,262.62
  5. Step 5: Solve for x
    x = 33,926,163,262.62/231,011.80
  6. Step 6: Final answer
    x = 146,859.01

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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.