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Finding the Fourth Proportional to 221,330.30, 305,426.97 and 130,715.46

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Solution

The fourth proportional to 221,330.30, 305,426.97 and 130,715.46 is: 180,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,330.30 : 305,426.97 = 130,715.46 : x
  2. Step 2: Convert to fraction form
    221,330.30/305,426.97 = 130,715.46/x
  3. Step 3: Cross multiply
    221,330.30x = 305,426.97 × 130,715.46
  4. Step 4: Simplify right side
    221,330.30x = 39,924,026,879.96
  5. Step 5: Solve for x
    x = 39,924,026,879.96/221,330.30
  6. Step 6: Final answer
    x = 180,382.12

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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.