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Finding the Fourth Proportional to 194,988.80, 292,701.90 and 150,811.40

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Solution

The fourth proportional to 194,988.80, 292,701.90 and 150,811.40 is: 226,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,988.80 : 292,701.90 = 150,811.40 : x
  2. Step 2: Convert to fraction form
    194,988.80/292,701.90 = 150,811.40/x
  3. Step 3: Cross multiply
    194,988.80x = 292,701.90 × 150,811.40
  4. Step 4: Simplify right side
    194,988.80x = 44,142,783,321.66
  5. Step 5: Solve for x
    x = 44,142,783,321.66/194,988.80
  6. Step 6: Final answer
    x = 226,386.25

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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.