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Finding the Fourth Proportional to 102,604.60, 153,906.90 and 47,308.60

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Solution

The fourth proportional to 102,604.60, 153,906.90 and 47,308.60 is: 70,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604.60 : 153,906.90 = 47,308.60 : x
  2. Step 2: Convert to fraction form
    102,604.60/153,906.90 = 47,308.60/x
  3. Step 3: Cross multiply
    102,604.60x = 153,906.90 × 47,308.60
  4. Step 4: Simplify right side
    102,604.60x = 7,281,119,969.34
  5. Step 5: Solve for x
    x = 7,281,119,969.34/102,604.60
  6. Step 6: Final answer
    x = 70,962.90

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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.