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Finding the Fourth Proportional to 194,117.71, 291,246.63 and 67,776.57

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Solution

The fourth proportional to 194,117.71, 291,246.63 and 67,776.57 is: 101,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,117.71 : 291,246.63 = 67,776.57 : x
  2. Step 2: Convert to fraction form
    194,117.71/291,246.63 = 67,776.57/x
  3. Step 3: Cross multiply
    194,117.71x = 291,246.63 × 67,776.57
  4. Step 4: Simplify right side
    194,117.71x = 19,739,697,070.89
  5. Step 5: Solve for x
    x = 19,739,697,070.89/194,117.71
  6. Step 6: Final answer
    x = 101,689.31

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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.