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Finding the Fourth Proportional to 302,611.50, 453,785.96 and 102,878.24

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Solution

The fourth proportional to 302,611.50, 453,785.96 and 102,878.24 is: 154,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,611.50 : 453,785.96 = 102,878.24 : x
  2. Step 2: Convert to fraction form
    302,611.50/453,785.96 = 102,878.24/x
  3. Step 3: Cross multiply
    302,611.50x = 453,785.96 × 102,878.24
  4. Step 4: Simplify right side
    302,611.50x = 46,684,700,901.51
  5. Step 5: Solve for x
    x = 46,684,700,901.51/302,611.50
  6. Step 6: Final answer
    x = 154,272.73

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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.