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Finding the Fourth Proportional to 231,097.80, 346,646.70 and 64,864.20

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Solution

The fourth proportional to 231,097.80, 346,646.70 and 64,864.20 is: 97,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,097.80 : 346,646.70 = 64,864.20 : x
  2. Step 2: Convert to fraction form
    231,097.80/346,646.70 = 64,864.20/x
  3. Step 3: Cross multiply
    231,097.80x = 346,646.70 × 64,864.20
  4. Step 4: Simplify right side
    231,097.80x = 22,484,960,878.14
  5. Step 5: Solve for x
    x = 22,484,960,878.14/231,097.80
  6. Step 6: Final answer
    x = 97,296.30

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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.