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Finding the Fourth Proportional to 157,410.80, 236,116.20 and 52,233.20

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Solution

The fourth proportional to 157,410.80, 236,116.20 and 52,233.20 is: 78,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,410.80 : 236,116.20 = 52,233.20 : x
  2. Step 2: Convert to fraction form
    157,410.80/236,116.20 = 52,233.20/x
  3. Step 3: Cross multiply
    157,410.80x = 236,116.20 × 52,233.20
  4. Step 4: Simplify right side
    157,410.80x = 12,333,104,697.84
  5. Step 5: Solve for x
    x = 12,333,104,697.84/157,410.80
  6. Step 6: Final answer
    x = 78,349.80

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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.