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Finding the Fourth Proportional to 221,752.86, 306,019.25 and 126,259.59

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Solution

The fourth proportional to 221,752.86, 306,019.25 and 126,259.59 is: 174,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,752.86 : 306,019.25 = 126,259.59 : x
  2. Step 2: Convert to fraction form
    221,752.86/306,019.25 = 126,259.59/x
  3. Step 3: Cross multiply
    221,752.86x = 306,019.25 × 126,259.59
  4. Step 4: Simplify right side
    221,752.86x = 38,637,864,405.81
  5. Step 5: Solve for x
    x = 38,637,864,405.81/221,752.86
  6. Step 6: Final answer
    x = 174,238.40

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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.