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Finding the Fourth Proportional to 230,419.50, 345,765.33 and 97,291.14

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Solution

The fourth proportional to 230,419.50, 345,765.33 and 97,291.14 is: 145,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,419.50 : 345,765.33 = 97,291.14 : x
  2. Step 2: Convert to fraction form
    230,419.50/345,765.33 = 97,291.14/x
  3. Step 3: Cross multiply
    230,419.50x = 345,765.33 × 97,291.14
  4. Step 4: Simplify right side
    230,419.50x = 33,639,903,128.18
  5. Step 5: Solve for x
    x = 33,639,903,128.18/230,419.50
  6. Step 6: Final answer
    x = 145,994.17

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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.