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Finding the Fourth Proportional to 102,164.11, 153,244.62 and 45,964.53

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Solution

The fourth proportional to 102,164.11, 153,244.62 and 45,964.53 is: 68,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164.11 : 153,244.62 = 45,964.53 : x
  2. Step 2: Convert to fraction form
    102,164.11/153,244.62 = 45,964.53/x
  3. Step 3: Cross multiply
    102,164.11x = 153,244.62 × 45,964.53
  4. Step 4: Simplify right side
    102,164.11x = 7,043,817,393.03
  5. Step 5: Solve for x
    x = 7,043,817,393.03/102,164.11
  6. Step 6: Final answer
    x = 68,946.10

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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.