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Finding the Fourth Proportional to 333,505.56, 500,130.75 and 164,968.08

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Solution

The fourth proportional to 333,505.56, 500,130.75 and 164,968.08 is: 247,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,505.56 : 500,130.75 = 164,968.08 : x
  2. Step 2: Convert to fraction form
    333,505.56/500,130.75 = 164,968.08/x
  3. Step 3: Cross multiply
    333,505.56x = 500,130.75 × 164,968.08
  4. Step 4: Simplify right side
    333,505.56x = 82,505,609,576.46
  5. Step 5: Solve for x
    x = 82,505,609,576.46/333,505.56
  6. Step 6: Final answer
    x = 247,389.01

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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.