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Finding the Fourth Proportional to 194,038.99, 291,059.77 and 67,678.76

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Solution

The fourth proportional to 194,038.99, 291,059.77 and 67,678.76 is: 101,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,038.99 : 291,059.77 = 67,678.76 : x
  2. Step 2: Convert to fraction form
    194,038.99/291,059.77 = 67,678.76/x
  3. Step 3: Cross multiply
    194,038.99x = 291,059.77 × 67,678.76
  4. Step 4: Simplify right side
    194,038.99x = 19,698,564,040.26
  5. Step 5: Solve for x
    x = 19,698,564,040.26/194,038.99
  6. Step 6: Final answer
    x = 101,518.59

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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.