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Finding the Fourth Proportional to 146,537.60, 205,619.20 and 146,537.60

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Solution

The fourth proportional to 146,537.60, 205,619.20 and 146,537.60 is: 205,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,537.60 : 205,619.20 = 146,537.60 : x
  2. Step 2: Convert to fraction form
    146,537.60/205,619.20 = 146,537.60/x
  3. Step 3: Cross multiply
    146,537.60x = 205,619.20 × 146,537.60
  4. Step 4: Simplify right side
    146,537.60x = 30,130,944,081.92
  5. Step 5: Solve for x
    x = 30,130,944,081.92/146,537.60
  6. Step 6: Final answer
    x = 205,619.20

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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.