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Finding the Fourth Proportional to 146,496.60, 219,744.90 and 35,688.60

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Solution

The fourth proportional to 146,496.60, 219,744.90 and 35,688.60 is: 53,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,496.60 : 219,744.90 = 35,688.60 : x
  2. Step 2: Convert to fraction form
    146,496.60/219,744.90 = 35,688.60/x
  3. Step 3: Cross multiply
    146,496.60x = 219,744.90 × 35,688.60
  4. Step 4: Simplify right side
    146,496.60x = 7,842,387,838.14
  5. Step 5: Solve for x
    x = 7,842,387,838.14/146,496.60
  6. Step 6: Final answer
    x = 53,532.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.