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Finding the Fourth Proportional to 264,044, 364,403.76 and 144,835.04

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Solution

The fourth proportional to 264,044, 364,403.76 and 144,835.04 is: 199,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,044 : 364,403.76 = 144,835.04 : x
  2. Step 2: Convert to fraction form
    264,044/364,403.76 = 144,835.04/x
  3. Step 3: Cross multiply
    264,044x = 364,403.76 × 144,835.04
  4. Step 4: Simplify right side
    264,044x = 52,778,433,155.75
  5. Step 5: Solve for x
    x = 52,778,433,155.75/264,044
  6. Step 6: Final answer
    x = 199,884.99

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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.