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Finding the Fourth Proportional to 196,417.34, 294,755.13 and 107,733

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Solution

The fourth proportional to 196,417.34, 294,755.13 and 107,733 is: 161,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,417.34 : 294,755.13 = 107,733 : x
  2. Step 2: Convert to fraction form
    196,417.34/294,755.13 = 107,733/x
  3. Step 3: Cross multiply
    196,417.34x = 294,755.13 × 107,733
  4. Step 4: Simplify right side
    196,417.34x = 31,754,854,420.29
  5. Step 5: Solve for x
    x = 31,754,854,420.29/196,417.34
  6. Step 6: Final answer
    x = 161,670.32

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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.