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Finding the Fourth Proportional to 144,023.60, 201,840.40 and 144,023.60

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Solution

The fourth proportional to 144,023.60, 201,840.40 and 144,023.60 is: 201,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,023.60 : 201,840.40 = 144,023.60 : x
  2. Step 2: Convert to fraction form
    144,023.60/201,840.40 = 144,023.60/x
  3. Step 3: Cross multiply
    144,023.60x = 201,840.40 × 144,023.60
  4. Step 4: Simplify right side
    144,023.60x = 29,069,781,033.44
  5. Step 5: Solve for x
    x = 29,069,781,033.44/144,023.60
  6. Step 6: Final answer
    x = 201,840.40

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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.