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Finding the Fourth Proportional to 194,903.66, 292,355.49 and 47,159.66

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Solution

The fourth proportional to 194,903.66, 292,355.49 and 47,159.66 is: 70,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,903.66 : 292,355.49 = 47,159.66 : x
  2. Step 2: Convert to fraction form
    194,903.66/292,355.49 = 47,159.66/x
  3. Step 3: Cross multiply
    194,903.66x = 292,355.49 × 47,159.66
  4. Step 4: Simplify right side
    194,903.66x = 13,787,384,045.76
  5. Step 5: Solve for x
    x = 13,787,384,045.76/194,903.66
  6. Step 6: Final answer
    x = 70,739.48

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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.