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Finding the Fourth Proportional to 130,799.64, 180,498.06 and 74,214.12

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Solution

The fourth proportional to 130,799.64, 180,498.06 and 74,214.12 is: 102,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,799.64 : 180,498.06 = 74,214.12 : x
  2. Step 2: Convert to fraction form
    130,799.64/180,498.06 = 74,214.12/x
  3. Step 3: Cross multiply
    130,799.64x = 180,498.06 × 74,214.12
  4. Step 4: Simplify right side
    130,799.64x = 13,395,504,684.61
  5. Step 5: Solve for x
    x = 13,395,504,684.61/130,799.64
  6. Step 6: Final answer
    x = 102,412.40

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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.