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Finding the Fourth Proportional to 333,505.06, 500,130 and 164,967.58

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Solution

The fourth proportional to 333,505.06, 500,130 and 164,967.58 is: 247,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,505.06 : 500,130 = 164,967.58 : x
  2. Step 2: Convert to fraction form
    333,505.06/500,130 = 164,967.58/x
  3. Step 3: Cross multiply
    333,505.06x = 500,130 × 164,967.58
  4. Step 4: Simplify right side
    333,505.06x = 82,505,235,785.40
  5. Step 5: Solve for x
    x = 82,505,235,785.40/333,505.06
  6. Step 6: Final answer
    x = 247,388.26

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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.