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Finding the Fourth Proportional to 126,654.46, 189,929.14 and 46,696.98

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Solution

The fourth proportional to 126,654.46, 189,929.14 and 46,696.98 is: 70,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,654.46 : 189,929.14 = 46,696.98 : x
  2. Step 2: Convert to fraction form
    126,654.46/189,929.14 = 46,696.98/x
  3. Step 3: Cross multiply
    126,654.46x = 189,929.14 × 46,696.98
  4. Step 4: Simplify right side
    126,654.46x = 8,869,117,252.00
  5. Step 5: Solve for x
    x = 8,869,117,252.00/126,654.46
  6. Step 6: Final answer
    x = 70,026.10

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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.