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Finding the Fourth Proportional to 186,648.98, 280,089.60 and 75,840.98

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Solution

The fourth proportional to 186,648.98, 280,089.60 and 75,840.98 is: 113,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,648.98 : 280,089.60 = 75,840.98 : x
  2. Step 2: Convert to fraction form
    186,648.98/280,089.60 = 75,840.98/x
  3. Step 3: Cross multiply
    186,648.98x = 280,089.60 × 75,840.98
  4. Step 4: Simplify right side
    186,648.98x = 21,242,269,751.81
  5. Step 5: Solve for x
    x = 21,242,269,751.81/186,648.98
  6. Step 6: Final answer
    x = 113,808.66

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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.