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Finding the Fourth Proportional to 264,801.40, 397,056.30 and 106,851.40

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Solution

The fourth proportional to 264,801.40, 397,056.30 and 106,851.40 is: 160,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,801.40 : 397,056.30 = 106,851.40 : x
  2. Step 2: Convert to fraction form
    264,801.40/397,056.30 = 106,851.40/x
  3. Step 3: Cross multiply
    264,801.40x = 397,056.30 × 106,851.40
  4. Step 4: Simplify right side
    264,801.40x = 42,426,021,533.82
  5. Step 5: Solve for x
    x = 42,426,021,533.82/264,801.40
  6. Step 6: Final answer
    x = 160,218.27

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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.