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Finding the Fourth Proportional to 302,172.48, 453,257.04 and 77,532.48

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Solution

The fourth proportional to 302,172.48, 453,257.04 and 77,532.48 is: 116,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,172.48 : 453,257.04 = 77,532.48 : x
  2. Step 2: Convert to fraction form
    302,172.48/453,257.04 = 77,532.48/x
  3. Step 3: Cross multiply
    302,172.48x = 453,257.04 × 77,532.48
  4. Step 4: Simplify right side
    302,172.48x = 35,142,142,388.66
  5. Step 5: Solve for x
    x = 35,142,142,388.66/302,172.48
  6. Step 6: Final answer
    x = 116,298.29

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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.