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Finding the Fourth Proportional to 184,616.16, 254,770.40 and 99,733.12

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Solution

The fourth proportional to 184,616.16, 254,770.40 and 99,733.12 is: 137,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,616.16 : 254,770.40 = 99,733.12 : x
  2. Step 2: Convert to fraction form
    184,616.16/254,770.40 = 99,733.12/x
  3. Step 3: Cross multiply
    184,616.16x = 254,770.40 × 99,733.12
  4. Step 4: Simplify right side
    184,616.16x = 25,409,046,875.65
  5. Step 5: Solve for x
    x = 25,409,046,875.65/184,616.16
  6. Step 6: Final answer
    x = 137,631.76

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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.