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Finding the Fourth Proportional to 190,597, 262,851.70 and 118,983.64

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Solution

The fourth proportional to 190,597, 262,851.70 and 118,983.64 is: 164,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,597 : 262,851.70 = 118,983.64 : x
  2. Step 2: Convert to fraction form
    190,597/262,851.70 = 118,983.64/x
  3. Step 3: Cross multiply
    190,597x = 262,851.70 × 118,983.64
  4. Step 4: Simplify right side
    190,597x = 31,275,052,046.19
  5. Step 5: Solve for x
    x = 31,275,052,046.19/190,597
  6. Step 6: Final answer
    x = 164,089.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.