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Finding the Fourth Proportional to 149,024, 223,536.54 and 141,549.32

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Solution

The fourth proportional to 149,024, 223,536.54 and 141,549.32 is: 212,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,024 : 223,536.54 = 141,549.32 : x
  2. Step 2: Convert to fraction form
    149,024/223,536.54 = 141,549.32/x
  3. Step 3: Cross multiply
    149,024x = 223,536.54 × 141,549.32
  4. Step 4: Simplify right side
    149,024x = 31,641,445,232.15
  5. Step 5: Solve for x
    x = 31,641,445,232.15/149,024
  6. Step 6: Final answer
    x = 212,324.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.