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Finding the Fourth Proportional to 165,807.54, 228,818.13 and 97,841.07

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Solution

The fourth proportional to 165,807.54, 228,818.13 and 97,841.07 is: 135,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,807.54 : 228,818.13 = 97,841.07 : x
  2. Step 2: Convert to fraction form
    165,807.54/228,818.13 = 97,841.07/x
  3. Step 3: Cross multiply
    165,807.54x = 228,818.13 × 97,841.07
  4. Step 4: Simplify right side
    165,807.54x = 22,387,810,674.60
  5. Step 5: Solve for x
    x = 22,387,810,674.60/165,807.54
  6. Step 6: Final answer
    x = 135,022.87

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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.