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Finding the Fourth Proportional to 201,653.98, 302,668.08 and 101,884.26

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Solution

The fourth proportional to 201,653.98, 302,668.08 and 101,884.26 is: 152,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,653.98 : 302,668.08 = 101,884.26 : x
  2. Step 2: Convert to fraction form
    201,653.98/302,668.08 = 101,884.26/x
  3. Step 3: Cross multiply
    201,653.98x = 302,668.08 × 101,884.26
  4. Step 4: Simplify right side
    201,653.98x = 30,837,113,356.42
  5. Step 5: Solve for x
    x = 30,837,113,356.42/201,653.98
  6. Step 6: Final answer
    x = 152,920.93

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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.