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Finding the Fourth Proportional to 242,643.40, 363,792.30 and 92,825.80

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Solution

The fourth proportional to 242,643.40, 363,792.30 and 92,825.80 is: 139,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,643.40 : 363,792.30 = 92,825.80 : x
  2. Step 2: Convert to fraction form
    242,643.40/363,792.30 = 92,825.80/x
  3. Step 3: Cross multiply
    242,643.40x = 363,792.30 × 92,825.80
  4. Step 4: Simplify right side
    242,643.40x = 33,769,311,281.34
  5. Step 5: Solve for x
    x = 33,769,311,281.34/242,643.40
  6. Step 6: Final answer
    x = 139,172.59

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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.