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Finding the Fourth Proportional to 201,810.30, 302,499.45 and 68,567.10

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Solution

The fourth proportional to 201,810.30, 302,499.45 and 68,567.10 is: 102,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810.30 : 302,499.45 = 68,567.10 : x
  2. Step 2: Convert to fraction form
    201,810.30/302,499.45 = 68,567.10/x
  3. Step 3: Cross multiply
    201,810.30x = 302,499.45 × 68,567.10
  4. Step 4: Simplify right side
    201,810.30x = 20,741,510,038.10
  5. Step 5: Solve for x
    x = 20,741,510,038.10/201,810.30
  6. Step 6: Final answer
    x = 102,777.26

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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.