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Finding the Fourth Proportional to 153,090.72, 229,422.24 and 74,184

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Solution

The fourth proportional to 153,090.72, 229,422.24 and 74,184 is: 111,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,090.72 : 229,422.24 = 74,184 : x
  2. Step 2: Convert to fraction form
    153,090.72/229,422.24 = 74,184/x
  3. Step 3: Cross multiply
    153,090.72x = 229,422.24 × 74,184
  4. Step 4: Simplify right side
    153,090.72x = 17,019,459,452.16
  5. Step 5: Solve for x
    x = 17,019,459,452.16/153,090.72
  6. Step 6: Final answer
    x = 111,172.38

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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.