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Finding the Fourth Proportional to 343,501.94, 515,330.67 and 133,200.02

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Solution

The fourth proportional to 343,501.94, 515,330.67 and 133,200.02 is: 199,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,501.94 : 515,330.67 = 133,200.02 : x
  2. Step 2: Convert to fraction form
    343,501.94/515,330.67 = 133,200.02/x
  3. Step 3: Cross multiply
    343,501.94x = 515,330.67 × 133,200.02
  4. Step 4: Simplify right side
    343,501.94x = 68,642,055,550.61
  5. Step 5: Solve for x
    x = 68,642,055,550.61/343,501.94
  6. Step 6: Final answer
    x = 199,830.18

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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.