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Finding the Fourth Proportional to 201,623.80, 302,423.46 and 89,271.28

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Solution

The fourth proportional to 201,623.80, 302,423.46 and 89,271.28 is: 133,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,623.80 : 302,423.46 = 89,271.28 : x
  2. Step 2: Convert to fraction form
    201,623.80/302,423.46 = 89,271.28/x
  3. Step 3: Cross multiply
    201,623.80x = 302,423.46 × 89,271.28
  4. Step 4: Simplify right side
    201,623.80x = 26,997,729,376.23
  5. Step 5: Solve for x
    x = 26,997,729,376.23/201,623.80
  6. Step 6: Final answer
    x = 133,901.50

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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.