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Finding the Fourth Proportional to 130,805.14, 180,505.64 and 74,219.62

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Solution

The fourth proportional to 130,805.14, 180,505.64 and 74,219.62 is: 102,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,805.14 : 180,505.64 = 74,219.62 : x
  2. Step 2: Convert to fraction form
    130,805.14/180,505.64 = 74,219.62/x
  3. Step 3: Cross multiply
    130,805.14x = 180,505.64 × 74,219.62
  4. Step 4: Simplify right side
    130,805.14x = 13,397,060,008.66
  5. Step 5: Solve for x
    x = 13,397,060,008.66/130,805.14
  6. Step 6: Final answer
    x = 102,419.98

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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.