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Finding the Fourth Proportional to 109,402.30, 163,775.40 and 65,006.20

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Solution

The fourth proportional to 109,402.30, 163,775.40 and 65,006.20 is: 97,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,402.30 : 163,775.40 = 65,006.20 : x
  2. Step 2: Convert to fraction form
    109,402.30/163,775.40 = 65,006.20/x
  3. Step 3: Cross multiply
    109,402.30x = 163,775.40 × 65,006.20
  4. Step 4: Simplify right side
    109,402.30x = 10,646,416,407.48
  5. Step 5: Solve for x
    x = 10,646,416,407.48/109,402.30
  6. Step 6: Final answer
    x = 97,314.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.