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Finding the Fourth Proportional to 334,744.84, 502,121.32 and 98,092.32

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Solution

The fourth proportional to 334,744.84, 502,121.32 and 98,092.32 is: 147,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,744.84 : 502,121.32 = 98,092.32 : x
  2. Step 2: Convert to fraction form
    334,744.84/502,121.32 = 98,092.32/x
  3. Step 3: Cross multiply
    334,744.84x = 502,121.32 × 98,092.32
  4. Step 4: Simplify right side
    334,744.84x = 49,254,245,200.26
  5. Step 5: Solve for x
    x = 49,254,245,200.26/334,744.84
  6. Step 6: Final answer
    x = 147,139.67

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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.