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Finding the Fourth Proportional to 264,153.59, 364,523.67 and 147,867.02

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Solution

The fourth proportional to 264,153.59, 364,523.67 and 147,867.02 is: 204,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,153.59 : 364,523.67 = 147,867.02 : x
  2. Step 2: Convert to fraction form
    264,153.59/364,523.67 = 147,867.02/x
  3. Step 3: Cross multiply
    264,153.59x = 364,523.67 × 147,867.02
  4. Step 4: Simplify right side
    264,153.59x = 53,901,026,979.75
  5. Step 5: Solve for x
    x = 53,901,026,979.75/264,153.59
  6. Step 6: Final answer
    x = 204,051.85

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1.5x scale

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.