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Finding the Fourth Proportional to 113,420.64, 169,802.20 and 85,458.23

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Solution

The fourth proportional to 113,420.64, 169,802.20 and 85,458.23 is: 127,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,420.64 : 169,802.20 = 85,458.23 : x
  2. Step 2: Convert to fraction form
    113,420.64/169,802.20 = 85,458.23/x
  3. Step 3: Cross multiply
    113,420.64x = 169,802.20 × 85,458.23
  4. Step 4: Simplify right side
    113,420.64x = 14,510,995,462.11
  5. Step 5: Solve for x
    x = 14,510,995,462.11/113,420.64
  6. Step 6: Final answer
    x = 127,939.64

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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.