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Finding the Fourth Proportional to 259,722.86, 358,415.08 and 144,994.15

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Solution

The fourth proportional to 259,722.86, 358,415.08 and 144,994.15 is: 200,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,722.86 : 358,415.08 = 144,994.15 : x
  2. Step 2: Convert to fraction form
    259,722.86/358,415.08 = 144,994.15/x
  3. Step 3: Cross multiply
    259,722.86x = 358,415.08 × 144,994.15
  4. Step 4: Simplify right side
    259,722.86x = 51,968,089,957.32
  5. Step 5: Solve for x
    x = 51,968,089,957.32/259,722.86
  6. Step 6: Final answer
    x = 200,090.55

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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.