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Finding the Fourth Proportional to 194,713.61, 291,773.95 and 144,558.41

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Solution

The fourth proportional to 194,713.61, 291,773.95 and 144,558.41 is: 216,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,713.61 : 291,773.95 = 144,558.41 : x
  2. Step 2: Convert to fraction form
    194,713.61/291,773.95 = 144,558.41/x
  3. Step 3: Cross multiply
    194,713.61x = 291,773.95 × 144,558.41
  4. Step 4: Simplify right side
    194,713.61x = 42,178,376,471.15
  5. Step 5: Solve for x
    x = 42,178,376,471.15/194,713.61
  6. Step 6: Final answer
    x = 216,617.51

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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.