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Finding the Fourth Proportional to 186,907.84, 257,902.41 and 110,416.30

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Solution

The fourth proportional to 186,907.84, 257,902.41 and 110,416.30 is: 152,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,907.84 : 257,902.41 = 110,416.30 : x
  2. Step 2: Convert to fraction form
    186,907.84/257,902.41 = 110,416.30/x
  3. Step 3: Cross multiply
    186,907.84x = 257,902.41 × 110,416.30
  4. Step 4: Simplify right side
    186,907.84x = 28,476,629,873.28
  5. Step 5: Solve for x
    x = 28,476,629,873.28/186,907.84
  6. Step 6: Final answer
    x = 152,356.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.