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Finding the Fourth Proportional to 228,136.07, 342,153.21 and 65,994.59

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Solution

The fourth proportional to 228,136.07, 342,153.21 and 65,994.59 is: 98,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,136.07 : 342,153.21 = 65,994.59 : x
  2. Step 2: Convert to fraction form
    228,136.07/342,153.21 = 65,994.59/x
  3. Step 3: Cross multiply
    228,136.07x = 342,153.21 × 65,994.59
  4. Step 4: Simplify right side
    228,136.07x = 22,580,260,811.13
  5. Step 5: Solve for x
    x = 22,580,260,811.13/228,136.07
  6. Step 6: Final answer
    x = 98,977.16

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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.