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Finding the Fourth Proportional to 164,097.45, 245,654.10 and 97,503.30

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Solution

The fourth proportional to 164,097.45, 245,654.10 and 97,503.30 is: 145,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,097.45 : 245,654.10 = 97,503.30 : x
  2. Step 2: Convert to fraction form
    164,097.45/245,654.10 = 97,503.30/x
  3. Step 3: Cross multiply
    164,097.45x = 245,654.10 × 97,503.30
  4. Step 4: Simplify right side
    164,097.45x = 23,952,085,408.53
  5. Step 5: Solve for x
    x = 23,952,085,408.53/164,097.45
  6. Step 6: Final answer
    x = 145,962.57

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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.