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Finding the Fourth Proportional to 190,103.90, 284,925.45 and 84,811.10

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Solution

The fourth proportional to 190,103.90, 284,925.45 and 84,811.10 is: 127,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,103.90 : 284,925.45 = 84,811.10 : x
  2. Step 2: Convert to fraction form
    190,103.90/284,925.45 = 84,811.10/x
  3. Step 3: Cross multiply
    190,103.90x = 284,925.45 × 84,811.10
  4. Step 4: Simplify right side
    190,103.90x = 24,164,840,832.50
  5. Step 5: Solve for x
    x = 24,164,840,832.50/190,103.90
  6. Step 6: Final answer
    x = 127,113.86

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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.