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Finding the Fourth Proportional to 146,802.20, 205,937.80 and 146,802.20

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Solution

The fourth proportional to 146,802.20, 205,937.80 and 146,802.20 is: 205,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,802.20 : 205,937.80 = 146,802.20 : x
  2. Step 2: Convert to fraction form
    146,802.20/205,937.80 = 146,802.20/x
  3. Step 3: Cross multiply
    146,802.20x = 205,937.80 × 146,802.20
  4. Step 4: Simplify right side
    146,802.20x = 30,232,122,103.16
  5. Step 5: Solve for x
    x = 30,232,122,103.16/146,802.20
  6. Step 6: Final answer
    x = 205,937.80

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