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Finding the Fourth Proportional to 152,588.56, 228,852.60 and 123,178

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Solution

The fourth proportional to 152,588.56, 228,852.60 and 123,178 is: 184,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,588.56 : 228,852.60 = 123,178 : x
  2. Step 2: Convert to fraction form
    152,588.56/228,852.60 = 123,178/x
  3. Step 3: Cross multiply
    152,588.56x = 228,852.60 × 123,178
  4. Step 4: Simplify right side
    152,588.56x = 28,189,605,562.80
  5. Step 5: Solve for x
    x = 28,189,605,562.80/152,588.56
  6. Step 6: Final answer
    x = 184,742.59

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Why These Related Problems?

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