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Finding the Fourth Proportional to 196,457.66, 294,440.12 and 84,005.88

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Solution

The fourth proportional to 196,457.66, 294,440.12 and 84,005.88 is: 125,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,457.66 : 294,440.12 = 84,005.88 : x
  2. Step 2: Convert to fraction form
    196,457.66/294,440.12 = 84,005.88/x
  3. Step 3: Cross multiply
    196,457.66x = 294,440.12 × 84,005.88
  4. Step 4: Simplify right side
    196,457.66x = 24,734,700,967.88
  5. Step 5: Solve for x
    x = 24,734,700,967.88/196,457.66
  6. Step 6: Final answer
    x = 125,903.47

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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.