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Finding the Fourth Proportional to 147,768.60, 221,792.10 and 77,698.20

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Solution

The fourth proportional to 147,768.60, 221,792.10 and 77,698.20 is: 116,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,768.60 : 221,792.10 = 77,698.20 : x
  2. Step 2: Convert to fraction form
    147,768.60/221,792.10 = 77,698.20/x
  3. Step 3: Cross multiply
    147,768.60x = 221,792.10 × 77,698.20
  4. Step 4: Simplify right side
    147,768.60x = 17,232,846,944.22
  5. Step 5: Solve for x
    x = 17,232,846,944.22/147,768.60
  6. Step 6: Final answer
    x = 116,620.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.