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Finding the Fourth Proportional to 146,802.10, 205,989.50 and 146,802.10

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Solution

The fourth proportional to 146,802.10, 205,989.50 and 146,802.10 is: 205,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,802.10 : 205,989.50 = 146,802.10 : x
  2. Step 2: Convert to fraction form
    146,802.10/205,989.50 = 146,802.10/x
  3. Step 3: Cross multiply
    146,802.10x = 205,989.50 × 146,802.10
  4. Step 4: Simplify right side
    146,802.10x = 30,239,691,177.95
  5. Step 5: Solve for x
    x = 30,239,691,177.95/146,802.10
  6. Step 6: Final answer
    x = 205,989.50

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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.