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Finding the Fourth Proportional to 133,628.60, 184,423.02 and 77,042

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Solution

The fourth proportional to 133,628.60, 184,423.02 and 77,042 is: 106,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,628.60 : 184,423.02 = 77,042 : x
  2. Step 2: Convert to fraction form
    133,628.60/184,423.02 = 77,042/x
  3. Step 3: Cross multiply
    133,628.60x = 184,423.02 × 77,042
  4. Step 4: Simplify right side
    133,628.60x = 14,208,318,306.84
  5. Step 5: Solve for x
    x = 14,208,318,306.84/133,628.60
  6. Step 6: Final answer
    x = 106,326.93

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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.