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Finding the Fourth Proportional to 266,492.97, 367,751.75 and 145,633.88

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Solution

The fourth proportional to 266,492.97, 367,751.75 and 145,633.88 is: 200,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,492.97 : 367,751.75 = 145,633.88 : x
  2. Step 2: Convert to fraction form
    266,492.97/367,751.75 = 145,633.88/x
  3. Step 3: Cross multiply
    266,492.97x = 367,751.75 × 145,633.88
  4. Step 4: Simplify right side
    266,492.97x = 53,557,114,420.50
  5. Step 5: Solve for x
    x = 53,557,114,420.50/266,492.97
  6. Step 6: Final answer
    x = 200,970.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.