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Finding the Fourth Proportional to 207,543.67, 311,315.74 and 57,784.29

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Solution

The fourth proportional to 207,543.67, 311,315.74 and 57,784.29 is: 86,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,543.67 : 311,315.74 = 57,784.29 : x
  2. Step 2: Convert to fraction form
    207,543.67/311,315.74 = 57,784.29/x
  3. Step 3: Cross multiply
    207,543.67x = 311,315.74 × 57,784.29
  4. Step 4: Simplify right side
    207,543.67x = 17,989,159,440.98
  5. Step 5: Solve for x
    x = 17,989,159,440.98/207,543.67
  6. Step 6: Final answer
    x = 86,676.50

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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.