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Finding the Fourth Proportional to 334,735.40, 502,102.98 and 98,078.01

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Solution

The fourth proportional to 334,735.40, 502,102.98 and 98,078.01 is: 147,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,735.40 : 502,102.98 = 98,078.01 : x
  2. Step 2: Convert to fraction form
    334,735.40/502,102.98 = 98,078.01/x
  3. Step 3: Cross multiply
    334,735.40x = 502,102.98 × 98,078.01
  4. Step 4: Simplify right side
    334,735.40x = 49,245,261,093.47
  5. Step 5: Solve for x
    x = 49,245,261,093.47/334,735.40
  6. Step 6: Final answer
    x = 147,116.98

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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.