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Finding the Fourth Proportional to 334,734.84, 502,106.33 and 98,082.31

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Solution

The fourth proportional to 334,734.84, 502,106.33 and 98,082.31 is: 147,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,734.84 : 502,106.33 = 98,082.31 : x
  2. Step 2: Convert to fraction form
    334,734.84/502,106.33 = 98,082.31/x
  3. Step 3: Cross multiply
    334,734.84x = 502,106.33 × 98,082.31
  4. Step 4: Simplify right side
    334,734.84x = 49,247,748,712.02
  5. Step 5: Solve for x
    x = 49,247,748,712.02/334,734.84
  6. Step 6: Final answer
    x = 147,124.66

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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.