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Finding the Fourth Proportional to 221,565.34, 305,742.90 and 130,904.11

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Solution

The fourth proportional to 221,565.34, 305,742.90 and 130,904.11 is: 180,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,565.34 : 305,742.90 = 130,904.11 : x
  2. Step 2: Convert to fraction form
    221,565.34/305,742.90 = 130,904.11/x
  3. Step 3: Cross multiply
    221,565.34x = 305,742.90 × 130,904.11
  4. Step 4: Simplify right side
    221,565.34x = 40,023,002,213.32
  5. Step 5: Solve for x
    x = 40,023,002,213.32/221,565.34
  6. Step 6: Final answer
    x = 180,637.47

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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.