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Finding the Fourth Proportional to 254,816.10, 382,222.80 and 65,276.10

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Solution

The fourth proportional to 254,816.10, 382,222.80 and 65,276.10 is: 97,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,816.10 : 382,222.80 = 65,276.10 : x
  2. Step 2: Convert to fraction form
    254,816.10/382,222.80 = 65,276.10/x
  3. Step 3: Cross multiply
    254,816.10x = 382,222.80 × 65,276.10
  4. Step 4: Simplify right side
    254,816.10x = 24,950,013,715.08
  5. Step 5: Solve for x
    x = 24,950,013,715.08/254,816.10
  6. Step 6: Final answer
    x = 97,913.80

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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.