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Finding the Fourth Proportional to 98,281.69, 147,422.53 and 28,161

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Solution

The fourth proportional to 98,281.69, 147,422.53 and 28,161 is: 42,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,281.69 : 147,422.53 = 28,161 : x
  2. Step 2: Convert to fraction form
    98,281.69/147,422.53 = 28,161/x
  3. Step 3: Cross multiply
    98,281.69x = 147,422.53 × 28,161
  4. Step 4: Simplify right side
    98,281.69x = 4,151,565,902.53
  5. Step 5: Solve for x
    x = 4,151,565,902.53/98,281.69
  6. Step 6: Final answer
    x = 42,241.50

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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.