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Finding the Fourth Proportional to 165,853.80, 232,428.60 and 165,853.80

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Solution

The fourth proportional to 165,853.80, 232,428.60 and 165,853.80 is: 232,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,853.80 : 232,428.60 = 165,853.80 : x
  2. Step 2: Convert to fraction form
    165,853.80/232,428.60 = 165,853.80/x
  3. Step 3: Cross multiply
    165,853.80x = 232,428.60 × 165,853.80
  4. Step 4: Simplify right side
    165,853.80x = 38,549,166,538.68
  5. Step 5: Solve for x
    x = 38,549,166,538.68/165,853.80
  6. Step 6: Final answer
    x = 232,428.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.