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Finding the Fourth Proportional to 222,762.24, 307,411.44 and 122,160

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Solution

The fourth proportional to 222,762.24, 307,411.44 and 122,160 is: 168,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,762.24 : 307,411.44 = 122,160 : x
  2. Step 2: Convert to fraction form
    222,762.24/307,411.44 = 122,160/x
  3. Step 3: Cross multiply
    222,762.24x = 307,411.44 × 122,160
  4. Step 4: Simplify right side
    222,762.24x = 37,553,381,510.40
  5. Step 5: Solve for x
    x = 37,553,381,510.40/222,762.24
  6. Step 6: Final answer
    x = 168,580.55

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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.