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Finding the Fourth Proportional to 221,540.06, 305,602.18 and 145,182.32

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Solution

The fourth proportional to 221,540.06, 305,602.18 and 145,182.32 is: 200,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,540.06 : 305,602.18 = 145,182.32 : x
  2. Step 2: Convert to fraction form
    221,540.06/305,602.18 = 145,182.32/x
  3. Step 3: Cross multiply
    221,540.06x = 305,602.18 × 145,182.32
  4. Step 4: Simplify right side
    221,540.06x = 44,368,035,280.16
  5. Step 5: Solve for x
    x = 44,368,035,280.16/221,540.06
  6. Step 6: Final answer
    x = 200,270.93

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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.