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Finding the Fourth Proportional to 265,600, 366,523.20 and 144,742.36

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Solution

The fourth proportional to 265,600, 366,523.20 and 144,742.36 is: 199,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,600 : 366,523.20 = 144,742.36 : x
  2. Step 2: Convert to fraction form
    265,600/366,523.20 = 144,742.36/x
  3. Step 3: Cross multiply
    265,600x = 366,523.20 × 144,742.36
  4. Step 4: Simplify right side
    265,600x = 53,051,432,962.75
  5. Step 5: Solve for x
    x = 53,051,432,962.75/265,600
  6. Step 6: Final answer
    x = 199,741.84

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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.