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Finding the Fourth Proportional to 334,730.84, 502,100.33 and 98,078.31

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Solution

The fourth proportional to 334,730.84, 502,100.33 and 98,078.31 is: 147,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,730.84 : 502,100.33 = 98,078.31 : x
  2. Step 2: Convert to fraction form
    334,730.84/502,100.33 = 98,078.31/x
  3. Step 3: Cross multiply
    334,730.84x = 502,100.33 × 98,078.31
  4. Step 4: Simplify right side
    334,730.84x = 49,245,151,326.45
  5. Step 5: Solve for x
    x = 49,245,151,326.45/334,730.84
  6. Step 6: Final answer
    x = 147,118.66

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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.