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Finding the Fourth Proportional to 130,643.30, 180,326.13 and 85,328.21

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Solution

The fourth proportional to 130,643.30, 180,326.13 and 85,328.21 is: 117,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,643.30 : 180,326.13 = 85,328.21 : x
  2. Step 2: Convert to fraction form
    130,643.30/180,326.13 = 85,328.21/x
  3. Step 3: Cross multiply
    130,643.30x = 180,326.13 × 85,328.21
  4. Step 4: Simplify right side
    130,643.30x = 15,386,906,019.96
  5. Step 5: Solve for x
    x = 15,386,906,019.96/130,643.30
  6. Step 6: Final answer
    x = 117,777.99

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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.