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Finding the Fourth Proportional to 224,402.06, 309,632.51 and 133,766.46

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Solution

The fourth proportional to 224,402.06, 309,632.51 and 133,766.46 is: 184,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,402.06 : 309,632.51 = 133,766.46 : x
  2. Step 2: Convert to fraction form
    224,402.06/309,632.51 = 133,766.46/x
  3. Step 3: Cross multiply
    224,402.06x = 309,632.51 × 133,766.46
  4. Step 4: Simplify right side
    224,402.06x = 41,418,445,098.03
  5. Step 5: Solve for x
    x = 41,418,445,098.03/224,402.06
  6. Step 6: Final answer
    x = 184,572.48

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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.