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Finding the Fourth Proportional to 220,827.80, 304,742.42 and 120,225.80

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Solution

The fourth proportional to 220,827.80, 304,742.42 and 120,225.80 is: 165,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,827.80 : 304,742.42 = 120,225.80 : x
  2. Step 2: Convert to fraction form
    220,827.80/304,742.42 = 120,225.80/x
  3. Step 3: Cross multiply
    220,827.80x = 304,742.42 × 120,225.80
  4. Step 4: Simplify right side
    220,827.80x = 36,637,899,113.59
  5. Step 5: Solve for x
    x = 36,637,899,113.59/220,827.80
  6. Step 6: Final answer
    x = 165,911.63

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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.