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Finding the Fourth Proportional to 242,035.75, 362,928.55 and 108,802.34

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Solution

The fourth proportional to 242,035.75, 362,928.55 and 108,802.34 is: 163,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,035.75 : 362,928.55 = 108,802.34 : x
  2. Step 2: Convert to fraction form
    242,035.75/362,928.55 = 108,802.34/x
  3. Step 3: Cross multiply
    242,035.75x = 362,928.55 × 108,802.34
  4. Step 4: Simplify right side
    242,035.75x = 39,487,474,971.14
  5. Step 5: Solve for x
    x = 39,487,474,971.14/242,035.75
  6. Step 6: Final answer
    x = 163,147.29

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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.