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Finding the Fourth Proportional to 260,744.99, 359,798.31 and 146,007.68

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Solution

The fourth proportional to 260,744.99, 359,798.31 and 146,007.68 is: 201,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,744.99 : 359,798.31 = 146,007.68 : x
  2. Step 2: Convert to fraction form
    260,744.99/359,798.31 = 146,007.68/x
  3. Step 3: Cross multiply
    260,744.99x = 359,798.31 × 146,007.68
  4. Step 4: Simplify right side
    260,744.99x = 52,533,314,712.03
  5. Step 5: Solve for x
    x = 52,533,314,712.03/260,744.99
  6. Step 6: Final answer
    x = 201,473.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.