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Finding the Fourth Proportional to 230,815.14, 346,219.10 and 118,430.49

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Solution

The fourth proportional to 230,815.14, 346,219.10 and 118,430.49 is: 177,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,815.14 : 346,219.10 = 118,430.49 : x
  2. Step 2: Convert to fraction form
    230,815.14/346,219.10 = 118,430.49/x
  3. Step 3: Cross multiply
    230,815.14x = 346,219.10 × 118,430.49
  4. Step 4: Simplify right side
    230,815.14x = 41,002,897,068.21
  5. Step 5: Solve for x
    x = 41,002,897,068.21/230,815.14
  6. Step 6: Final answer
    x = 177,643.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.