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Finding the Fourth Proportional to 254,774.80, 382,113.60 and 77,287.60

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Solution

The fourth proportional to 254,774.80, 382,113.60 and 77,287.60 is: 115,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,774.80 : 382,113.60 = 77,287.60 : x
  2. Step 2: Convert to fraction form
    254,774.80/382,113.60 = 77,287.60/x
  3. Step 3: Cross multiply
    254,774.80x = 382,113.60 × 77,287.60
  4. Step 4: Simplify right side
    254,774.80x = 29,532,643,071.36
  5. Step 5: Solve for x
    x = 29,532,643,071.36/254,774.80
  6. Step 6: Final answer
    x = 115,916.66

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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.