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Finding the Fourth Proportional to 223,272.38, 307,946.14 and 154,476.32

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Solution

The fourth proportional to 223,272.38, 307,946.14 and 154,476.32 is: 213,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,272.38 : 307,946.14 = 154,476.32 : x
  2. Step 2: Convert to fraction form
    223,272.38/307,946.14 = 154,476.32/x
  3. Step 3: Cross multiply
    223,272.38x = 307,946.14 × 154,476.32
  4. Step 4: Simplify right side
    223,272.38x = 47,570,384,539.48
  5. Step 5: Solve for x
    x = 47,570,384,539.48/223,272.38
  6. Step 6: Final answer
    x = 213,059.87

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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.