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Finding the Fourth Proportional to 165,712.76, 228,818.64 and 135,090.80

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Solution

The fourth proportional to 165,712.76, 228,818.64 and 135,090.80 is: 186,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,712.76 : 228,818.64 = 135,090.80 : x
  2. Step 2: Convert to fraction form
    165,712.76/228,818.64 = 135,090.80/x
  3. Step 3: Cross multiply
    165,712.76x = 228,818.64 × 135,090.80
  4. Step 4: Simplify right side
    165,712.76x = 30,911,293,132.51
  5. Step 5: Solve for x
    x = 30,911,293,132.51/165,712.76
  6. Step 6: Final answer
    x = 186,535.38

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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.