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Finding the Fourth Proportional to 254,904.54, 382,355.53 and 65,364.06

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Solution

The fourth proportional to 254,904.54, 382,355.53 and 65,364.06 is: 98,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,904.54 : 382,355.53 = 65,364.06 : x
  2. Step 2: Convert to fraction form
    254,904.54/382,355.53 = 65,364.06/x
  3. Step 3: Cross multiply
    254,904.54x = 382,355.53 × 65,364.06
  4. Step 4: Simplify right side
    254,904.54x = 24,992,309,804.25
  5. Step 5: Solve for x
    x = 24,992,309,804.25/254,904.54
  6. Step 6: Final answer
    x = 98,045.76

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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.