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Finding the Fourth Proportional to 133,423.16, 184,146.54 and 76,824.12

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Solution

The fourth proportional to 133,423.16, 184,146.54 and 76,824.12 is: 106,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,423.16 : 184,146.54 = 76,824.12 : x
  2. Step 2: Convert to fraction form
    133,423.16/184,146.54 = 76,824.12/x
  3. Step 3: Cross multiply
    133,423.16x = 184,146.54 × 76,824.12
  4. Step 4: Simplify right side
    133,423.16x = 14,146,895,886.54
  5. Step 5: Solve for x
    x = 14,146,895,886.54/133,423.16
  6. Step 6: Final answer
    x = 106,030.29

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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.