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Finding the Fourth Proportional to 190,068.84, 284,535.23 and 114,961.82

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Solution

The fourth proportional to 190,068.84, 284,535.23 and 114,961.82 is: 172,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,068.84 : 284,535.23 = 114,961.82 : x
  2. Step 2: Convert to fraction form
    190,068.84/284,535.23 = 114,961.82/x
  3. Step 3: Cross multiply
    190,068.84x = 284,535.23 × 114,961.82
  4. Step 4: Simplify right side
    190,068.84x = 32,710,685,897.43
  5. Step 5: Solve for x
    x = 32,710,685,897.43/190,068.84
  6. Step 6: Final answer
    x = 172,099.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.