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Finding the Fourth Proportional to 255,918.33, 353,112.56 and 147,036.02

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Solution

The fourth proportional to 255,918.33, 353,112.56 and 147,036.02 is: 202,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,918.33 : 353,112.56 = 147,036.02 : x
  2. Step 2: Convert to fraction form
    255,918.33/353,112.56 = 147,036.02/x
  3. Step 3: Cross multiply
    255,918.33x = 353,112.56 × 147,036.02
  4. Step 4: Simplify right side
    255,918.33x = 51,920,262,933.67
  5. Step 5: Solve for x
    x = 51,920,262,933.67/255,918.33
  6. Step 6: Final answer
    x = 202,878.25

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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.