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Finding the Fourth Proportional to 196,970.94, 295,428.47 and 112,456.76

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Solution

The fourth proportional to 196,970.94, 295,428.47 and 112,456.76 is: 168,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,970.94 : 295,428.47 = 112,456.76 : x
  2. Step 2: Convert to fraction form
    196,970.94/295,428.47 = 112,456.76/x
  3. Step 3: Cross multiply
    196,970.94x = 295,428.47 × 112,456.76
  4. Step 4: Simplify right side
    196,970.94x = 33,222,926,508.53
  5. Step 5: Solve for x
    x = 33,222,926,508.53/196,970.94
  6. Step 6: Final answer
    x = 168,669.18

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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.