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Finding the Fourth Proportional to 196,473.60, 294,537.60 and 117,619.20

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Solution

The fourth proportional to 196,473.60, 294,537.60 and 117,619.20 is: 176,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,473.60 : 294,537.60 = 117,619.20 : x
  2. Step 2: Convert to fraction form
    196,473.60/294,537.60 = 117,619.20/x
  3. Step 3: Cross multiply
    196,473.60x = 294,537.60 × 117,619.20
  4. Step 4: Simplify right side
    196,473.60x = 34,643,276,881.92
  5. Step 5: Solve for x
    x = 34,643,276,881.92/196,473.60
  6. Step 6: Final answer
    x = 176,325.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.