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Finding the Fourth Proportional to 273,064.53, 409,476.51 and 146,666.87

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Solution

The fourth proportional to 273,064.53, 409,476.51 and 146,666.87 is: 219,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,064.53 : 409,476.51 = 146,666.87 : x
  2. Step 2: Convert to fraction form
    273,064.53/409,476.51 = 146,666.87/x
  3. Step 3: Cross multiply
    273,064.53x = 409,476.51 × 146,666.87
  4. Step 4: Simplify right side
    273,064.53x = 60,056,636,012.84
  5. Step 5: Solve for x
    x = 60,056,636,012.84/273,064.53
  6. Step 6: Final answer
    x = 219,935.69

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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.