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Finding the Fourth Proportional to 165,292.76, 228,104 and 98,224.76

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Solution

The fourth proportional to 165,292.76, 228,104 and 98,224.76 is: 135,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,292.76 : 228,104 = 98,224.76 : x
  2. Step 2: Convert to fraction form
    165,292.76/228,104 = 98,224.76/x
  3. Step 3: Cross multiply
    165,292.76x = 228,104 × 98,224.76
  4. Step 4: Simplify right side
    165,292.76x = 22,405,460,655.04
  5. Step 5: Solve for x
    x = 22,405,460,655.04/165,292.76
  6. Step 6: Final answer
    x = 135,550.16

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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.