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Finding the Fourth Proportional to 156,744.40, 234,857.40 and 133,416.40

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Solution

The fourth proportional to 156,744.40, 234,857.40 and 133,416.40 is: 199,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744.40 : 234,857.40 = 133,416.40 : x
  2. Step 2: Convert to fraction form
    156,744.40/234,857.40 = 133,416.40/x
  3. Step 3: Cross multiply
    156,744.40x = 234,857.40 × 133,416.40
  4. Step 4: Simplify right side
    156,744.40x = 31,333,828,821.36
  5. Step 5: Solve for x
    x = 31,333,828,821.36/156,744.40
  6. Step 6: Final answer
    x = 199,903.98

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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.