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Finding the Fourth Proportional to 221,473.90, 305,527.71 and 144,959.32

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Solution

The fourth proportional to 221,473.90, 305,527.71 and 144,959.32 is: 199,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,473.90 : 305,527.71 = 144,959.32 : x
  2. Step 2: Convert to fraction form
    221,473.90/305,527.71 = 144,959.32/x
  3. Step 3: Cross multiply
    221,473.90x = 305,527.71 × 144,959.32
  4. Step 4: Simplify right side
    221,473.90x = 44,289,089,082.76
  5. Step 5: Solve for x
    x = 44,289,089,082.76/221,473.90
  6. Step 6: Final answer
    x = 199,974.30

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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.