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Finding the Fourth Proportional to 255,826.68, 353,036.56 and 141,116.48

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Solution

The fourth proportional to 255,826.68, 353,036.56 and 141,116.48 is: 194,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,826.68 : 353,036.56 = 141,116.48 : x
  2. Step 2: Convert to fraction form
    255,826.68/353,036.56 = 141,116.48/x
  3. Step 3: Cross multiply
    255,826.68x = 353,036.56 × 141,116.48
  4. Step 4: Simplify right side
    255,826.68x = 49,819,276,658.51
  5. Step 5: Solve for x
    x = 49,819,276,658.51/255,826.68
  6. Step 6: Final answer
    x = 194,738.39

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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.