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Finding the Fourth Proportional to 221,013.51, 305,000.69 and 120,411.51

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Solution

The fourth proportional to 221,013.51, 305,000.69 and 120,411.51 is: 166,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,013.51 : 305,000.69 = 120,411.51 : x
  2. Step 2: Convert to fraction form
    221,013.51/305,000.69 = 120,411.51/x
  3. Step 3: Cross multiply
    221,013.51x = 305,000.69 × 120,411.51
  4. Step 4: Simplify right side
    221,013.51x = 36,725,593,031.88
  5. Step 5: Solve for x
    x = 36,725,593,031.88/221,013.51
  6. Step 6: Final answer
    x = 166,169.00

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1.5x scale

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.