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Finding the Fourth Proportional to 333,320.61, 500,077.74 and 120,084.47

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Solution

The fourth proportional to 333,320.61, 500,077.74 and 120,084.47 is: 180,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,320.61 : 500,077.74 = 120,084.47 : x
  2. Step 2: Convert to fraction form
    333,320.61/500,077.74 = 120,084.47/x
  3. Step 3: Cross multiply
    333,320.61x = 500,077.74 × 120,084.47
  4. Step 4: Simplify right side
    333,320.61x = 60,051,570,366.70
  5. Step 5: Solve for x
    x = 60,051,570,366.70/333,320.61
  6. Step 6: Final answer
    x = 180,161.59

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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.