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Finding the Fourth Proportional to 201,735.68, 302,643.34 and 59,583.40

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Solution

The fourth proportional to 201,735.68, 302,643.34 and 59,583.40 is: 89,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,735.68 : 302,643.34 = 59,583.40 : x
  2. Step 2: Convert to fraction form
    201,735.68/302,643.34 = 59,583.40/x
  3. Step 3: Cross multiply
    201,735.68x = 302,643.34 × 59,583.40
  4. Step 4: Simplify right side
    201,735.68x = 18,032,519,184.56
  5. Step 5: Solve for x
    x = 18,032,519,184.56/201,735.68
  6. Step 6: Final answer
    x = 89,386.86

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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.