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Finding the Fourth Proportional to 200,954.40, 301,431.60 and 153,715.20

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Solution

The fourth proportional to 200,954.40, 301,431.60 and 153,715.20 is: 230,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,954.40 : 301,431.60 = 153,715.20 : x
  2. Step 2: Convert to fraction form
    200,954.40/301,431.60 = 153,715.20/x
  3. Step 3: Cross multiply
    200,954.40x = 301,431.60 × 153,715.20
  4. Step 4: Simplify right side
    200,954.40x = 46,334,618,680.32
  5. Step 5: Solve for x
    x = 46,334,618,680.32/200,954.40
  6. Step 6: Final answer
    x = 230,572.80

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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.