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Finding the Fourth Proportional to 194,943.40, 292,415.10 and 76,575.40

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Solution

The fourth proportional to 194,943.40, 292,415.10 and 76,575.40 is: 114,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,943.40 : 292,415.10 = 76,575.40 : x
  2. Step 2: Convert to fraction form
    194,943.40/292,415.10 = 76,575.40/x
  3. Step 3: Cross multiply
    194,943.40x = 292,415.10 × 76,575.40
  4. Step 4: Simplify right side
    194,943.40x = 22,391,803,248.54
  5. Step 5: Solve for x
    x = 22,391,803,248.54/194,943.40
  6. Step 6: Final answer
    x = 114,863.10

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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.