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Finding the Fourth Proportional to 122,804.34, 169,490.36 and 77,507.04

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Solution

The fourth proportional to 122,804.34, 169,490.36 and 77,507.04 is: 106,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,804.34 : 169,490.36 = 77,507.04 : x
  2. Step 2: Convert to fraction form
    122,804.34/169,490.36 = 77,507.04/x
  3. Step 3: Cross multiply
    122,804.34x = 169,490.36 × 77,507.04
  4. Step 4: Simplify right side
    122,804.34x = 13,136,696,112.13
  5. Step 5: Solve for x
    x = 13,136,696,112.13/122,804.34
  6. Step 6: Final answer
    x = 106,972.57

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