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Finding the Fourth Proportional to 254,830.60, 382,148.70 and 77,278.60

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Solution

The fourth proportional to 254,830.60, 382,148.70 and 77,278.60 is: 115,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,830.60 : 382,148.70 = 77,278.60 : x
  2. Step 2: Convert to fraction form
    254,830.60/382,148.70 = 77,278.60/x
  3. Step 3: Cross multiply
    254,830.60x = 382,148.70 × 77,278.60
  4. Step 4: Simplify right side
    254,830.60x = 29,531,916,527.82
  5. Step 5: Solve for x
    x = 29,531,916,527.82/254,830.60
  6. Step 6: Final answer
    x = 115,888.42

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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.