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Finding the Fourth Proportional to 196,457.40, 294,005.70 and 117,628.20

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Solution

The fourth proportional to 196,457.40, 294,005.70 and 117,628.20 is: 176,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,457.40 : 294,005.70 = 117,628.20 : x
  2. Step 2: Convert to fraction form
    196,457.40/294,005.70 = 117,628.20/x
  3. Step 3: Cross multiply
    196,457.40x = 294,005.70 × 117,628.20
  4. Step 4: Simplify right side
    196,457.40x = 34,583,361,280.74
  5. Step 5: Solve for x
    x = 34,583,361,280.74/196,457.40
  6. Step 6: Final answer
    x = 176,034.91

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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.