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Finding the Fourth Proportional to 123,088.50, 184,652.42 and 52,011.81

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Solution

The fourth proportional to 123,088.50, 184,652.42 and 52,011.81 is: 78,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,088.50 : 184,652.42 = 52,011.81 : x
  2. Step 2: Convert to fraction form
    123,088.50/184,652.42 = 52,011.81/x
  3. Step 3: Cross multiply
    123,088.50x = 184,652.42 × 52,011.81
  4. Step 4: Simplify right side
    123,088.50x = 9,604,106,585.08
  5. Step 5: Solve for x
    x = 9,604,106,585.08/123,088.50
  6. Step 6: Final answer
    x = 78,026.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.