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Finding the Fourth Proportional to 230,513.43, 345,687.02 and 97,404.01

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Solution

The fourth proportional to 230,513.43, 345,687.02 and 97,404.01 is: 146,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,513.43 : 345,687.02 = 97,404.01 : x
  2. Step 2: Convert to fraction form
    230,513.43/345,687.02 = 97,404.01/x
  3. Step 3: Cross multiply
    230,513.43x = 345,687.02 × 97,404.01
  4. Step 4: Simplify right side
    230,513.43x = 33,671,301,952.95
  5. Step 5: Solve for x
    x = 33,671,301,952.95/230,513.43
  6. Step 6: Final answer
    x = 146,070.89

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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.