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Finding the Fourth Proportional to 258,008.84, 356,051.94 and 144,831.80

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Solution

The fourth proportional to 258,008.84, 356,051.94 and 144,831.80 is: 199,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,008.84 : 356,051.94 = 144,831.80 : x
  2. Step 2: Convert to fraction form
    258,008.84/356,051.94 = 144,831.80/x
  3. Step 3: Cross multiply
    258,008.84x = 356,051.94 × 144,831.80
  4. Step 4: Simplify right side
    258,008.84x = 51,567,643,363.69
  5. Step 5: Solve for x
    x = 51,567,643,363.69/258,008.84
  6. Step 6: Final answer
    x = 199,867.74

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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.