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Finding the Fourth Proportional to 153,770, 230,670.12 and 42,962

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Solution

The fourth proportional to 153,770, 230,670.12 and 42,962 is: 64,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,770 : 230,670.12 = 42,962 : x
  2. Step 2: Convert to fraction form
    153,770/230,670.12 = 42,962/x
  3. Step 3: Cross multiply
    153,770x = 230,670.12 × 42,962
  4. Step 4: Simplify right side
    153,770x = 9,910,049,695.44
  5. Step 5: Solve for x
    x = 9,910,049,695.44/153,770
  6. Step 6: Final answer
    x = 64,447.22

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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.