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Finding the Fourth Proportional to 265,195.68, 365,973.03 and 144,337.74

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Solution

The fourth proportional to 265,195.68, 365,973.03 and 144,337.74 is: 199,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,195.68 : 365,973.03 = 144,337.74 : x
  2. Step 2: Convert to fraction form
    265,195.68/365,973.03 = 144,337.74/x
  3. Step 3: Cross multiply
    265,195.68x = 365,973.03 × 144,337.74
  4. Step 4: Simplify right side
    265,195.68x = 52,823,720,051.15
  5. Step 5: Solve for x
    x = 52,823,720,051.15/265,195.68
  6. Step 6: Final answer
    x = 199,187.71

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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.