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Finding the Fourth Proportional to 265,147.96, 365,904.86 and 144,289.20

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Solution

The fourth proportional to 265,147.96, 365,904.86 and 144,289.20 is: 199,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,147.96 : 365,904.86 = 144,289.20 : x
  2. Step 2: Convert to fraction form
    265,147.96/365,904.86 = 144,289.20/x
  3. Step 3: Cross multiply
    265,147.96x = 365,904.86 × 144,289.20
  4. Step 4: Simplify right side
    265,147.96x = 52,796,119,525.51
  5. Step 5: Solve for x
    x = 52,796,119,525.51/265,147.96
  6. Step 6: Final answer
    x = 199,119.46

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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.