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Finding the Fourth Proportional to 201,888.10, 302,867.81 and 83,493.10

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Solution

The fourth proportional to 201,888.10, 302,867.81 and 83,493.10 is: 125,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,888.10 : 302,867.81 = 83,493.10 : x
  2. Step 2: Convert to fraction form
    201,888.10/302,867.81 = 83,493.10/x
  3. Step 3: Cross multiply
    201,888.10x = 302,867.81 × 83,493.10
  4. Step 4: Simplify right side
    201,888.10x = 25,287,372,347.11
  5. Step 5: Solve for x
    x = 25,287,372,347.11/201,888.10
  6. Step 6: Final answer
    x = 125,254.40

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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.