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Finding the Fourth Proportional to 262,705.56, 362,466.95 and 160,693.76

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Solution

The fourth proportional to 262,705.56, 362,466.95 and 160,693.76 is: 221,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,705.56 : 362,466.95 = 160,693.76 : x
  2. Step 2: Convert to fraction form
    262,705.56/362,466.95 = 160,693.76/x
  3. Step 3: Cross multiply
    262,705.56x = 362,466.95 × 160,693.76
  4. Step 4: Simplify right side
    262,705.56x = 58,246,174,455.43
  5. Step 5: Solve for x
    x = 58,246,174,455.43/262,705.56
  6. Step 6: Final answer
    x = 221,716.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.