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Finding the Fourth Proportional to 286,047.81, 429,092.24 and 75,683.25

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Solution

The fourth proportional to 286,047.81, 429,092.24 and 75,683.25 is: 113,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,047.81 : 429,092.24 = 75,683.25 : x
  2. Step 2: Convert to fraction form
    286,047.81/429,092.24 = 75,683.25/x
  3. Step 3: Cross multiply
    286,047.81x = 429,092.24 × 75,683.25
  4. Step 4: Simplify right side
    286,047.81x = 32,475,094,894.56
  5. Step 5: Solve for x
    x = 32,475,094,894.56/286,047.81
  6. Step 6: Final answer
    x = 113,530.30

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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.