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Finding the Fourth Proportional to 201,026.40, 301,280.40 and 154,046.40

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Solution

The fourth proportional to 201,026.40, 301,280.40 and 154,046.40 is: 230,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,026.40 : 301,280.40 = 154,046.40 : x
  2. Step 2: Convert to fraction form
    201,026.40/301,280.40 = 154,046.40/x
  3. Step 3: Cross multiply
    201,026.40x = 301,280.40 × 154,046.40
  4. Step 4: Simplify right side
    201,026.40x = 46,411,161,010.56
  5. Step 5: Solve for x
    x = 46,411,161,010.56/201,026.40
  6. Step 6: Final answer
    x = 230,870.98

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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.