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Finding the Fourth Proportional to 190,472.66, 285,700.11 and 78,125.11

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Solution

The fourth proportional to 190,472.66, 285,700.11 and 78,125.11 is: 117,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,472.66 : 285,700.11 = 78,125.11 : x
  2. Step 2: Convert to fraction form
    190,472.66/285,700.11 = 78,125.11/x
  3. Step 3: Cross multiply
    190,472.66x = 285,700.11 × 78,125.11
  4. Step 4: Simplify right side
    190,472.66x = 22,320,351,953.00
  5. Step 5: Solve for x
    x = 22,320,351,953.00/190,472.66
  6. Step 6: Final answer
    x = 117,184.02

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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.