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Finding the Fourth Proportional to 103,214.40, 154,821.60 and 76,970.40

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Solution

The fourth proportional to 103,214.40, 154,821.60 and 76,970.40 is: 115,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214.40 : 154,821.60 = 76,970.40 : x
  2. Step 2: Convert to fraction form
    103,214.40/154,821.60 = 76,970.40/x
  3. Step 3: Cross multiply
    103,214.40x = 154,821.60 × 76,970.40
  4. Step 4: Simplify right side
    103,214.40x = 11,916,680,480.64
  5. Step 5: Solve for x
    x = 11,916,680,480.64/103,214.40
  6. Step 6: Final answer
    x = 115,455.60

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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.