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Finding the Fourth Proportional to 201,693.16, 302,364.06 and 83,290.60

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Solution

The fourth proportional to 201,693.16, 302,364.06 and 83,290.60 is: 124,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,693.16 : 302,364.06 = 83,290.60 : x
  2. Step 2: Convert to fraction form
    201,693.16/302,364.06 = 83,290.60/x
  3. Step 3: Cross multiply
    201,693.16x = 302,364.06 × 83,290.60
  4. Step 4: Simplify right side
    201,693.16x = 25,184,083,975.84
  5. Step 5: Solve for x
    x = 25,184,083,975.84/201,693.16
  6. Step 6: Final answer
    x = 124,863.35

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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.