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Finding the Fourth Proportional to 184,416.46, 254,487.88 and 102,742.80

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Solution

The fourth proportional to 184,416.46, 254,487.88 and 102,742.80 is: 141,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,416.46 : 254,487.88 = 102,742.80 : x
  2. Step 2: Convert to fraction form
    184,416.46/254,487.88 = 102,742.80/x
  3. Step 3: Cross multiply
    184,416.46x = 254,487.88 × 102,742.80
  4. Step 4: Simplify right side
    184,416.46x = 26,146,795,953.43
  5. Step 5: Solve for x
    x = 26,146,795,953.43/184,416.46
  6. Step 6: Final answer
    x = 141,781.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.