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Finding the Fourth Proportional to 286,735.44, 429,834.42 and 97,063.14

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Solution

The fourth proportional to 286,735.44, 429,834.42 and 97,063.14 is: 145,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,735.44 : 429,834.42 = 97,063.14 : x
  2. Step 2: Convert to fraction form
    286,735.44/429,834.42 = 97,063.14/x
  3. Step 3: Cross multiply
    286,735.44x = 429,834.42 × 97,063.14
  4. Step 4: Simplify right side
    286,735.44x = 41,721,078,485.28
  5. Step 5: Solve for x
    x = 41,721,078,485.28/286,735.44
  6. Step 6: Final answer
    x = 145,503.74

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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.