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Finding the Fourth Proportional to 144,090.40, 201,260 and 144,090.40

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Solution

The fourth proportional to 144,090.40, 201,260 and 144,090.40 is: 201,260

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,090.40 : 201,260 = 144,090.40 : x
  2. Step 2: Convert to fraction form
    144,090.40/201,260 = 144,090.40/x
  3. Step 3: Cross multiply
    144,090.40x = 201,260 × 144,090.40
  4. Step 4: Simplify right side
    144,090.40x = 28,999,633,904
  5. Step 5: Solve for x
    x = 28,999,633,904/144,090.40
  6. Step 6: Final answer
    x = 201,260

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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.