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Finding the Fourth Proportional to 165,858.59, 228,652.95 and 140,262.03

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Solution

The fourth proportional to 165,858.59, 228,652.95 and 140,262.03 is: 193,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,858.59 : 228,652.95 = 140,262.03 : x
  2. Step 2: Convert to fraction form
    165,858.59/228,652.95 = 140,262.03/x
  3. Step 3: Cross multiply
    165,858.59x = 228,652.95 × 140,262.03
  4. Step 4: Simplify right side
    165,858.59x = 32,071,326,932.49
  5. Step 5: Solve for x
    x = 32,071,326,932.49/165,858.59
  6. Step 6: Final answer
    x = 193,365.49

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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.