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Finding the Fourth Proportional to 201,771.10, 302,632.35 and 83,430.10

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Solution

The fourth proportional to 201,771.10, 302,632.35 and 83,430.10 is: 125,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771.10 : 302,632.35 = 83,430.10 : x
  2. Step 2: Convert to fraction form
    201,771.10/302,632.35 = 83,430.10/x
  3. Step 3: Cross multiply
    201,771.10x = 302,632.35 × 83,430.10
  4. Step 4: Simplify right side
    201,771.10x = 25,248,647,223.74
  5. Step 5: Solve for x
    x = 25,248,647,223.74/201,771.10
  6. Step 6: Final answer
    x = 125,135.10

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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.