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Finding the Fourth Proportional to 230,877, 346,063.32 and 146,674.80

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Solution

The fourth proportional to 230,877, 346,063.32 and 146,674.80 is: 219,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,877 : 346,063.32 = 146,674.80 : x
  2. Step 2: Convert to fraction form
    230,877/346,063.32 = 146,674.80/x
  3. Step 3: Cross multiply
    230,877x = 346,063.32 × 146,674.80
  4. Step 4: Simplify right side
    230,877x = 50,758,768,248.34
  5. Step 5: Solve for x
    x = 50,758,768,248.34/230,877
  6. Step 6: Final answer
    x = 219,851.99

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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.