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Finding the Fourth Proportional to 221,468.16, 305,585.82 and 130,838.88

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Solution

The fourth proportional to 221,468.16, 305,585.82 and 130,838.88 is: 180,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,468.16 : 305,585.82 = 130,838.88 : x
  2. Step 2: Convert to fraction form
    221,468.16/305,585.82 = 130,838.88/x
  3. Step 3: Cross multiply
    221,468.16x = 305,585.82 × 130,838.88
  4. Step 4: Simplify right side
    221,468.16x = 39,982,506,432.68
  5. Step 5: Solve for x
    x = 39,982,506,432.68/221,468.16
  6. Step 6: Final answer
    x = 180,533.88

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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.