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Finding the Fourth Proportional to 184,400.40, 254,456.40 and 102,722.64

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Solution

The fourth proportional to 184,400.40, 254,456.40 and 102,722.64 is: 141,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,400.40 : 254,456.40 = 102,722.64 : x
  2. Step 2: Convert to fraction form
    184,400.40/254,456.40 = 102,722.64/x
  3. Step 3: Cross multiply
    184,400.40x = 254,456.40 × 102,722.64
  4. Step 4: Simplify right side
    184,400.40x = 26,138,433,172.90
  5. Step 5: Solve for x
    x = 26,138,433,172.90/184,400.40
  6. Step 6: Final answer
    x = 141,748.25

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1.5x scale

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.