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Finding the Fourth Proportional to 194,751.81, 292,127.71 and 47,007.81

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Solution

The fourth proportional to 194,751.81, 292,127.71 and 47,007.81 is: 70,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751.81 : 292,127.71 = 47,007.81 : x
  2. Step 2: Convert to fraction form
    194,751.81/292,127.71 = 47,007.81/x
  3. Step 3: Cross multiply
    194,751.81x = 292,127.71 × 47,007.81
  4. Step 4: Simplify right side
    194,751.81x = 13,732,283,887.42
  5. Step 5: Solve for x
    x = 13,732,283,887.42/194,751.81
  6. Step 6: Final answer
    x = 70,511.71

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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.