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Finding the Fourth Proportional to 266,009.55, 367,102.02 and 145,157.46

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Solution

The fourth proportional to 266,009.55, 367,102.02 and 145,157.46 is: 200,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,009.55 : 367,102.02 = 145,157.46 : x
  2. Step 2: Convert to fraction form
    266,009.55/367,102.02 = 145,157.46/x
  3. Step 3: Cross multiply
    266,009.55x = 367,102.02 × 145,157.46
  4. Step 4: Simplify right side
    266,009.55x = 53,287,596,784.07
  5. Step 5: Solve for x
    x = 53,287,596,784.07/266,009.55
  6. Step 6: Final answer
    x = 200,322.12

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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.