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Finding the Fourth Proportional to 334,733.84, 502,104.83 and 98,081.31

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Solution

The fourth proportional to 334,733.84, 502,104.83 and 98,081.31 is: 147,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,733.84 : 502,104.83 = 98,081.31 : x
  2. Step 2: Convert to fraction form
    334,733.84/502,104.83 = 98,081.31/x
  3. Step 3: Cross multiply
    334,733.84x = 502,104.83 × 98,081.31
  4. Step 4: Simplify right side
    334,733.84x = 49,247,098,993.32
  5. Step 5: Solve for x
    x = 49,247,098,993.32/334,733.84
  6. Step 6: Final answer
    x = 147,123.16

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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.