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Finding the Fourth Proportional to 333,739.72, 500,259.66 and 156,097

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Solution

The fourth proportional to 333,739.72, 500,259.66 and 156,097 is: 233,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,739.72 : 500,259.66 = 156,097 : x
  2. Step 2: Convert to fraction form
    333,739.72/500,259.66 = 156,097/x
  3. Step 3: Cross multiply
    333,739.72x = 500,259.66 × 156,097
  4. Step 4: Simplify right side
    333,739.72x = 78,089,032,147.02
  5. Step 5: Solve for x
    x = 78,089,032,147.02/333,739.72
  6. Step 6: Final answer
    x = 233,981.84

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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.