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Finding the Fourth Proportional to 122,810.16, 169,466 and 69,094

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Solution

The fourth proportional to 122,810.16, 169,466 and 69,094 is: 95,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,810.16 : 169,466 = 69,094 : x
  2. Step 2: Convert to fraction form
    122,810.16/169,466 = 69,094/x
  3. Step 3: Cross multiply
    122,810.16x = 169,466 × 69,094
  4. Step 4: Simplify right side
    122,810.16x = 11,709,083,804
  5. Step 5: Solve for x
    x = 11,709,083,804/122,810.16
  6. Step 6: Final answer
    x = 95,342.96

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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.