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Finding the Fourth Proportional to 161,083.76, 241,564.11 and 52,988

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Solution

The fourth proportional to 161,083.76, 241,564.11 and 52,988 is: 79,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,083.76 : 241,564.11 = 52,988 : x
  2. Step 2: Convert to fraction form
    161,083.76/241,564.11 = 52,988/x
  3. Step 3: Cross multiply
    161,083.76x = 241,564.11 × 52,988
  4. Step 4: Simplify right side
    161,083.76x = 12,799,999,060.68
  5. Step 5: Solve for x
    x = 12,799,999,060.68/161,083.76
  6. Step 6: Final answer
    x = 79,461.76

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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.