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Finding the Fourth Proportional to 201,703.10, 302,263.05 and 89,291.30

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Solution

The fourth proportional to 201,703.10, 302,263.05 and 89,291.30 is: 133,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,703.10 : 302,263.05 = 89,291.30 : x
  2. Step 2: Convert to fraction form
    201,703.10/302,263.05 = 89,291.30/x
  3. Step 3: Cross multiply
    201,703.10x = 302,263.05 × 89,291.30
  4. Step 4: Simplify right side
    201,703.10x = 26,989,460,676.47
  5. Step 5: Solve for x
    x = 26,989,460,676.47/201,703.10
  6. Step 6: Final answer
    x = 133,807.86

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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.