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Finding the Fourth Proportional to 205,597.77, 283,802.94 and 184,048.70

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Solution

The fourth proportional to 205,597.77, 283,802.94 and 184,048.70 is: 254,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,597.77 : 283,802.94 = 184,048.70 : x
  2. Step 2: Convert to fraction form
    205,597.77/283,802.94 = 184,048.70/x
  3. Step 3: Cross multiply
    205,597.77x = 283,802.94 × 184,048.70
  4. Step 4: Simplify right side
    205,597.77x = 52,233,561,242.93
  5. Step 5: Solve for x
    x = 52,233,561,242.93/205,597.77
  6. Step 6: Final answer
    x = 254,057.05

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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.