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Finding the Fourth Proportional to 165,364.84, 228,123.30 and 98,249.32

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Solution

The fourth proportional to 165,364.84, 228,123.30 and 98,249.32 is: 135,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,364.84 : 228,123.30 = 98,249.32 : x
  2. Step 2: Convert to fraction form
    165,364.84/228,123.30 = 98,249.32/x
  3. Step 3: Cross multiply
    165,364.84x = 228,123.30 × 98,249.32
  4. Step 4: Simplify right side
    165,364.84x = 22,412,959,101.16
  5. Step 5: Solve for x
    x = 22,412,959,101.16/165,364.84
  6. Step 6: Final answer
    x = 135,536.42

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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.