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Finding the Fourth Proportional to 165,701.84, 228,595.76 and 111,967.26

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Solution

The fourth proportional to 165,701.84, 228,595.76 and 111,967.26 is: 154,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,701.84 : 228,595.76 = 111,967.26 : x
  2. Step 2: Convert to fraction form
    165,701.84/228,595.76 = 111,967.26/x
  3. Step 3: Cross multiply
    165,701.84x = 228,595.76 × 111,967.26
  4. Step 4: Simplify right side
    165,701.84x = 25,595,240,894.82
  5. Step 5: Solve for x
    x = 25,595,240,894.82/165,701.84
  6. Step 6: Final answer
    x = 154,465.64

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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.