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Finding the Fourth Proportional to 160,099.22, 240,294.22 and 85,283.16

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Solution

The fourth proportional to 160,099.22, 240,294.22 and 85,283.16 is: 128,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,099.22 : 240,294.22 = 85,283.16 : x
  2. Step 2: Convert to fraction form
    160,099.22/240,294.22 = 85,283.16/x
  3. Step 3: Cross multiply
    160,099.22x = 240,294.22 × 85,283.16
  4. Step 4: Simplify right side
    160,099.22x = 20,493,050,411.34
  5. Step 5: Solve for x
    x = 20,493,050,411.34/160,099.22
  6. Step 6: Final answer
    x = 128,002.19

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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.