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Finding the Fourth Proportional to 201,423.36, 301,938 and 83,194.32

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Solution

The fourth proportional to 201,423.36, 301,938 and 83,194.32 is: 124,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,423.36 : 301,938 = 83,194.32 : x
  2. Step 2: Convert to fraction form
    201,423.36/301,938 = 83,194.32/x
  3. Step 3: Cross multiply
    201,423.36x = 301,938 × 83,194.32
  4. Step 4: Simplify right side
    201,423.36x = 25,119,526,592.16
  5. Step 5: Solve for x
    x = 25,119,526,592.16/201,423.36
  6. Step 6: Final answer
    x = 124,710.10

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1.5x scale

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.