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Finding the Fourth Proportional to 201,706.64, 302,592.79 and 59,566.29

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Solution

The fourth proportional to 201,706.64, 302,592.79 and 59,566.29 is: 89,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706.64 : 302,592.79 = 59,566.29 : x
  2. Step 2: Convert to fraction form
    201,706.64/302,592.79 = 59,566.29/x
  3. Step 3: Cross multiply
    201,706.64x = 302,592.79 × 59,566.29
  4. Step 4: Simplify right side
    201,706.64x = 18,024,329,939.56
  5. Step 5: Solve for x
    x = 18,024,329,939.56/201,706.64
  6. Step 6: Final answer
    x = 89,359.13

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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.