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Finding the Fourth Proportional to 247,465.20, 370,938.60 and 97,647.60

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Solution

The fourth proportional to 247,465.20, 370,938.60 and 97,647.60 is: 146,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,465.20 : 370,938.60 = 97,647.60 : x
  2. Step 2: Convert to fraction form
    247,465.20/370,938.60 = 97,647.60/x
  3. Step 3: Cross multiply
    247,465.20x = 370,938.60 × 97,647.60
  4. Step 4: Simplify right side
    247,465.20x = 36,221,264,037.36
  5. Step 5: Solve for x
    x = 36,221,264,037.36/247,465.20
  6. Step 6: Final answer
    x = 146,369.12

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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.