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Finding the Fourth Proportional to 190,715.04, 285,761.52 and 97,092

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Solution

The fourth proportional to 190,715.04, 285,761.52 and 97,092 is: 145,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,715.04 : 285,761.52 = 97,092 : x
  2. Step 2: Convert to fraction form
    190,715.04/285,761.52 = 97,092/x
  3. Step 3: Cross multiply
    190,715.04x = 285,761.52 × 97,092
  4. Step 4: Simplify right side
    190,715.04x = 27,745,157,499.84
  5. Step 5: Solve for x
    x = 27,745,157,499.84/190,715.04
  6. Step 6: Final answer
    x = 145,479.65

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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.