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Finding the Fourth Proportional to 175,561, 242,274.66 and 96,073

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Solution

The fourth proportional to 175,561, 242,274.66 and 96,073 is: 132,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,561 : 242,274.66 = 96,073 : x
  2. Step 2: Convert to fraction form
    175,561/242,274.66 = 96,073/x
  3. Step 3: Cross multiply
    175,561x = 242,274.66 × 96,073
  4. Step 4: Simplify right side
    175,561x = 23,276,053,410.18
  5. Step 5: Solve for x
    x = 23,276,053,410.18/175,561
  6. Step 6: Final answer
    x = 132,581.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.