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Finding the Fourth Proportional to 255,709.51, 352,920.71 and 153,837.95

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Solution

The fourth proportional to 255,709.51, 352,920.71 and 153,837.95 is: 212,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,709.51 : 352,920.71 = 153,837.95 : x
  2. Step 2: Convert to fraction form
    255,709.51/352,920.71 = 153,837.95/x
  3. Step 3: Cross multiply
    255,709.51x = 352,920.71 × 153,837.95
  4. Step 4: Simplify right side
    255,709.51x = 54,292,597,158.94
  5. Step 5: Solve for x
    x = 54,292,597,158.94/255,709.51
  6. Step 6: Final answer
    x = 212,321.39

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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.