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Finding the Fourth Proportional to 144,908.40, 203,010 and 144,908.40

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Solution

The fourth proportional to 144,908.40, 203,010 and 144,908.40 is: 203,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,908.40 : 203,010 = 144,908.40 : x
  2. Step 2: Convert to fraction form
    144,908.40/203,010 = 144,908.40/x
  3. Step 3: Cross multiply
    144,908.40x = 203,010 × 144,908.40
  4. Step 4: Simplify right side
    144,908.40x = 29,417,854,284
  5. Step 5: Solve for x
    x = 29,417,854,284/144,908.40
  6. Step 6: Final answer
    x = 203,010

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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.