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Finding the Fourth Proportional to 197,259, 295,963.02 and 118,428.18

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Solution

The fourth proportional to 197,259, 295,963.02 and 118,428.18 is: 177,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,259 : 295,963.02 = 118,428.18 : x
  2. Step 2: Convert to fraction form
    197,259/295,963.02 = 118,428.18/x
  3. Step 3: Cross multiply
    197,259x = 295,963.02 × 118,428.18
  4. Step 4: Simplify right side
    197,259x = 35,050,361,805.90
  5. Step 5: Solve for x
    x = 35,050,361,805.90/197,259
  6. Step 6: Final answer
    x = 177,687.01

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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.