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Finding the Fourth Proportional to 334,740.34, 502,114.57 and 98,087.82

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Solution

The fourth proportional to 334,740.34, 502,114.57 and 98,087.82 is: 147,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,740.34 : 502,114.57 = 98,087.82 : x
  2. Step 2: Convert to fraction form
    334,740.34/502,114.57 = 98,087.82/x
  3. Step 3: Cross multiply
    334,740.34x = 502,114.57 × 98,087.82
  4. Step 4: Simplify right side
    334,740.34x = 49,251,323,561.54
  5. Step 5: Solve for x
    x = 49,251,323,561.54/334,740.34
  6. Step 6: Final answer
    x = 147,132.92

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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.