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Finding the Fourth Proportional to 220,225.44, 304,036.80 and 144,992.64

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Solution

The fourth proportional to 220,225.44, 304,036.80 and 144,992.64 is: 200,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,225.44 : 304,036.80 = 144,992.64 : x
  2. Step 2: Convert to fraction form
    220,225.44/304,036.80 = 144,992.64/x
  3. Step 3: Cross multiply
    220,225.44x = 304,036.80 × 144,992.64
  4. Step 4: Simplify right side
    220,225.44x = 44,083,098,289.15
  5. Step 5: Solve for x
    x = 44,083,098,289.15/220,225.44
  6. Step 6: Final answer
    x = 200,172.60

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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.