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Finding the Fourth Proportional to 82,280.10, 123,424.20 and 42,914.10

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Solution

The fourth proportional to 82,280.10, 123,424.20 and 42,914.10 is: 64,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,280.10 : 123,424.20 = 42,914.10 : x
  2. Step 2: Convert to fraction form
    82,280.10/123,424.20 = 42,914.10/x
  3. Step 3: Cross multiply
    82,280.10x = 123,424.20 × 42,914.10
  4. Step 4: Simplify right side
    82,280.10x = 5,296,638,461.22
  5. Step 5: Solve for x
    x = 5,296,638,461.22/82,280.10
  6. Step 6: Final answer
    x = 64,373.26

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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.