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Finding the Fourth Proportional to 201,369.60, 302,151.60 and 142,077.60

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Solution

The fourth proportional to 201,369.60, 302,151.60 and 142,077.60 is: 213,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,369.60 : 302,151.60 = 142,077.60 : x
  2. Step 2: Convert to fraction form
    201,369.60/302,151.60 = 142,077.60/x
  3. Step 3: Cross multiply
    201,369.60x = 302,151.60 × 142,077.60
  4. Step 4: Simplify right side
    201,369.60x = 42,928,974,164.16
  5. Step 5: Solve for x
    x = 42,928,974,164.16/201,369.60
  6. Step 6: Final answer
    x = 213,184.98

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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.