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Finding the Fourth Proportional to 194,303.66, 291,465.90 and 61,194.29

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Solution

The fourth proportional to 194,303.66, 291,465.90 and 61,194.29 is: 91,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,303.66 : 291,465.90 = 61,194.29 : x
  2. Step 2: Convert to fraction form
    194,303.66/291,465.90 = 61,194.29/x
  3. Step 3: Cross multiply
    194,303.66x = 291,465.90 × 61,194.29
  4. Step 4: Simplify right side
    194,303.66x = 17,836,048,809.71
  5. Step 5: Solve for x
    x = 17,836,048,809.71/194,303.66
  6. Step 6: Final answer
    x = 91,794.71

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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.