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Finding the Fourth Proportional to 284,733.50, 426,938.50 and 116,056.26

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Solution

The fourth proportional to 284,733.50, 426,938.50 and 116,056.26 is: 174,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,733.50 : 426,938.50 = 116,056.26 : x
  2. Step 2: Convert to fraction form
    284,733.50/426,938.50 = 116,056.26/x
  3. Step 3: Cross multiply
    284,733.50x = 426,938.50 × 116,056.26
  4. Step 4: Simplify right side
    284,733.50x = 49,548,885,560.01
  5. Step 5: Solve for x
    x = 49,548,885,560.01/284,733.50
  6. Step 6: Final answer
    x = 174,018.46

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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.