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Finding the Fourth Proportional to 230,880.50, 346,068.57 and 146,678.30

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Solution

The fourth proportional to 230,880.50, 346,068.57 and 146,678.30 is: 219,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,880.50 : 346,068.57 = 146,678.30 : x
  2. Step 2: Convert to fraction form
    230,880.50/346,068.57 = 146,678.30/x
  3. Step 3: Cross multiply
    230,880.50x = 346,068.57 × 146,678.30
  4. Step 4: Simplify right side
    230,880.50x = 50,760,749,531.03
  5. Step 5: Solve for x
    x = 50,760,749,531.03/230,880.50
  6. Step 6: Final answer
    x = 219,857.24

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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.