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Finding the Fourth Proportional to 194,681, 292,053.09 and 76,288.16

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Solution

The fourth proportional to 194,681, 292,053.09 and 76,288.16 is: 114,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,681 : 292,053.09 = 76,288.16 : x
  2. Step 2: Convert to fraction form
    194,681/292,053.09 = 76,288.16/x
  3. Step 3: Cross multiply
    194,681x = 292,053.09 × 76,288.16
  4. Step 4: Simplify right side
    194,681x = 22,280,192,858.41
  5. Step 5: Solve for x
    x = 22,280,192,858.41/194,681
  6. Step 6: Final answer
    x = 114,444.62

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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.