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Finding the Fourth Proportional to 186,848.64, 280,376.64 and 76,032

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Solution

The fourth proportional to 186,848.64, 280,376.64 and 76,032 is: 114,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,848.64 : 280,376.64 = 76,032 : x
  2. Step 2: Convert to fraction form
    186,848.64/280,376.64 = 76,032/x
  3. Step 3: Cross multiply
    186,848.64x = 280,376.64 × 76,032
  4. Step 4: Simplify right side
    186,848.64x = 21,317,596,692.48
  5. Step 5: Solve for x
    x = 21,317,596,692.48/186,848.64
  6. Step 6: Final answer
    x = 114,090.19

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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.