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Finding the Fourth Proportional to 197,261, 295,966.02 and 118,430.18

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Solution

The fourth proportional to 197,261, 295,966.02 and 118,430.18 is: 177,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,261 : 295,966.02 = 118,430.18 : x
  2. Step 2: Convert to fraction form
    197,261/295,966.02 = 118,430.18/x
  3. Step 3: Cross multiply
    197,261x = 295,966.02 × 118,430.18
  4. Step 4: Simplify right side
    197,261x = 35,051,309,022.48
  5. Step 5: Solve for x
    x = 35,051,309,022.48/197,261
  6. Step 6: Final answer
    x = 177,690.01

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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.