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Finding the Fourth Proportional to 201,619.10, 302,137.05 and 89,207.30

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Solution

The fourth proportional to 201,619.10, 302,137.05 and 89,207.30 is: 133,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,619.10 : 302,137.05 = 89,207.30 : x
  2. Step 2: Convert to fraction form
    201,619.10/302,137.05 = 89,207.30/x
  3. Step 3: Cross multiply
    201,619.10x = 302,137.05 × 89,207.30
  4. Step 4: Simplify right side
    201,619.10x = 26,952,830,460.47
  5. Step 5: Solve for x
    x = 26,952,830,460.47/201,619.10
  6. Step 6: Final answer
    x = 133,681.93

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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.