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Finding the Fourth Proportional to 202,169.93, 301,941.81 and 190,097.69

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Solution

The fourth proportional to 202,169.93, 301,941.81 and 190,097.69 is: 283,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,169.93 : 301,941.81 = 190,097.69 : x
  2. Step 2: Convert to fraction form
    202,169.93/301,941.81 = 190,097.69/x
  3. Step 3: Cross multiply
    202,169.93x = 301,941.81 × 190,097.69
  4. Step 4: Simplify right side
    202,169.93x = 57,398,439,085.71
  5. Step 5: Solve for x
    x = 57,398,439,085.71/202,169.93
  6. Step 6: Final answer
    x = 283,911.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.