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Finding the Fourth Proportional to 201,094.47, 301,680.59 and 76,425.75

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Solution

The fourth proportional to 201,094.47, 301,680.59 and 76,425.75 is: 114,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,094.47 : 301,680.59 = 76,425.75 : x
  2. Step 2: Convert to fraction form
    201,094.47/301,680.59 = 76,425.75/x
  3. Step 3: Cross multiply
    201,094.47x = 301,680.59 × 76,425.75
  4. Step 4: Simplify right side
    201,094.47x = 23,056,164,969.06
  5. Step 5: Solve for x
    x = 23,056,164,969.06/201,094.47
  6. Step 6: Final answer
    x = 114,653.40

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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.