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Finding the Fourth Proportional to 200,729.40, 301,094.10 and 153,490.20

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Solution

The fourth proportional to 200,729.40, 301,094.10 and 153,490.20 is: 230,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.40 : 301,094.10 = 153,490.20 : x
  2. Step 2: Convert to fraction form
    200,729.40/301,094.10 = 153,490.20/x
  3. Step 3: Cross multiply
    200,729.40x = 301,094.10 × 153,490.20
  4. Step 4: Simplify right side
    200,729.40x = 46,214,993,627.82
  5. Step 5: Solve for x
    x = 46,214,993,627.82/200,729.40
  6. Step 6: Final answer
    x = 230,235.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.