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Finding the Fourth Proportional to 196,253.40, 294,236.10 and 77,866.20

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Solution

The fourth proportional to 196,253.40, 294,236.10 and 77,866.20 is: 116,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,253.40 : 294,236.10 = 77,866.20 : x
  2. Step 2: Convert to fraction form
    196,253.40/294,236.10 = 77,866.20/x
  3. Step 3: Cross multiply
    196,253.40x = 294,236.10 × 77,866.20
  4. Step 4: Simplify right side
    196,253.40x = 22,911,047,009.82
  5. Step 5: Solve for x
    x = 22,911,047,009.82/196,253.40
  6. Step 6: Final answer
    x = 116,742.17

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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.