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Finding the Fourth Proportional to 135,097.30, 186,443.93 and 74,666.64

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Solution

The fourth proportional to 135,097.30, 186,443.93 and 74,666.64 is: 103,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,097.30 : 186,443.93 = 74,666.64 : x
  2. Step 2: Convert to fraction form
    135,097.30/186,443.93 = 74,666.64/x
  3. Step 3: Cross multiply
    135,097.30x = 186,443.93 × 74,666.64
  4. Step 4: Simplify right side
    135,097.30x = 13,921,141,801.50
  5. Step 5: Solve for x
    x = 13,921,141,801.50/135,097.30
  6. Step 6: Final answer
    x = 103,045.30

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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.