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Finding the Fourth Proportional to 196,175.40, 294,263.10 and 156,809.40

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Solution

The fourth proportional to 196,175.40, 294,263.10 and 156,809.40 is: 235,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,175.40 : 294,263.10 = 156,809.40 : x
  2. Step 2: Convert to fraction form
    196,175.40/294,263.10 = 156,809.40/x
  3. Step 3: Cross multiply
    196,175.40x = 294,263.10 × 156,809.40
  4. Step 4: Simplify right side
    196,175.40x = 46,143,220,153.14
  5. Step 5: Solve for x
    x = 46,143,220,153.14/196,175.40
  6. Step 6: Final answer
    x = 235,214.10

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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.