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Finding the Fourth Proportional to 201,546.40, 302,319.60 and 142,497.40

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Solution

The fourth proportional to 201,546.40, 302,319.60 and 142,497.40 is: 213,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,546.40 : 302,319.60 = 142,497.40 : x
  2. Step 2: Convert to fraction form
    201,546.40/302,319.60 = 142,497.40/x
  3. Step 3: Cross multiply
    201,546.40x = 302,319.60 × 142,497.40
  4. Step 4: Simplify right side
    201,546.40x = 43,079,756,969.04
  5. Step 5: Solve for x
    x = 43,079,756,969.04/201,546.40
  6. Step 6: Final answer
    x = 213,746.10

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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.