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Finding the Fourth Proportional to 221,478.90, 305,534.61 and 144,964.32

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Solution

The fourth proportional to 221,478.90, 305,534.61 and 144,964.32 is: 199,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,478.90 : 305,534.61 = 144,964.32 : x
  2. Step 2: Convert to fraction form
    221,478.90/305,534.61 = 144,964.32/x
  3. Step 3: Cross multiply
    221,478.90x = 305,534.61 × 144,964.32
  4. Step 4: Simplify right side
    221,478.90x = 44,291,616,975.12
  5. Step 5: Solve for x
    x = 44,291,616,975.12/221,478.90
  6. Step 6: Final answer
    x = 199,981.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.