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Finding the Fourth Proportional to 333,951.93, 500,933.37 and 97,307.61

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Solution

The fourth proportional to 333,951.93, 500,933.37 and 97,307.61 is: 145,963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,951.93 : 500,933.37 = 97,307.61 : x
  2. Step 2: Convert to fraction form
    333,951.93/500,933.37 = 97,307.61/x
  3. Step 3: Cross multiply
    333,951.93x = 500,933.37 × 97,307.61
  4. Step 4: Simplify right side
    333,951.93x = 48,744,629,003.95
  5. Step 5: Solve for x
    x = 48,744,629,003.95/333,951.93
  6. Step 6: Final answer
    x = 145,963.01

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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.