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Finding the Fourth Proportional to 108,206.47, 161,903.74 and 89,495.32

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Solution

The fourth proportional to 108,206.47, 161,903.74 and 89,495.32 is: 133,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,206.47 : 161,903.74 = 89,495.32 : x
  2. Step 2: Convert to fraction form
    108,206.47/161,903.74 = 89,495.32/x
  3. Step 3: Cross multiply
    108,206.47x = 161,903.74 × 89,495.32
  4. Step 4: Simplify right side
    108,206.47x = 14,489,627,020.50
  5. Step 5: Solve for x
    x = 14,489,627,020.50/108,206.47
  6. Step 6: Final answer
    x = 133,907.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.