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Finding the Fourth Proportional to 254,810.10, 382,213.80 and 65,270.10

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Solution

The fourth proportional to 254,810.10, 382,213.80 and 65,270.10 is: 97,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,810.10 : 382,213.80 = 65,270.10 : x
  2. Step 2: Convert to fraction form
    254,810.10/382,213.80 = 65,270.10/x
  3. Step 3: Cross multiply
    254,810.10x = 382,213.80 × 65,270.10
  4. Step 4: Simplify right side
    254,810.10x = 24,947,132,947.38
  5. Step 5: Solve for x
    x = 24,947,132,947.38/254,810.10
  6. Step 6: Final answer
    x = 97,904.80

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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.