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Finding the Fourth Proportional to 282,795.50, 424,193.25 and 85,803.50

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Solution

The fourth proportional to 282,795.50, 424,193.25 and 85,803.50 is: 128,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,795.50 : 424,193.25 = 85,803.50 : x
  2. Step 2: Convert to fraction form
    282,795.50/424,193.25 = 85,803.50/x
  3. Step 3: Cross multiply
    282,795.50x = 424,193.25 × 85,803.50
  4. Step 4: Simplify right side
    282,795.50x = 36,397,265,526.38
  5. Step 5: Solve for x
    x = 36,397,265,526.38/282,795.50
  6. Step 6: Final answer
    x = 128,705.25

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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.