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Finding the Fourth Proportional to 205,032.50, 282,944.43 and 114,383.06

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Solution

The fourth proportional to 205,032.50, 282,944.43 and 114,383.06 is: 157,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,032.50 : 282,944.43 = 114,383.06 : x
  2. Step 2: Convert to fraction form
    205,032.50/282,944.43 = 114,383.06/x
  3. Step 3: Cross multiply
    205,032.50x = 282,944.43 × 114,383.06
  4. Step 4: Simplify right side
    205,032.50x = 32,364,048,298.63
  5. Step 5: Solve for x
    x = 32,364,048,298.63/205,032.50
  6. Step 6: Final answer
    x = 157,848.39

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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.