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Finding the Fourth Proportional to 259,952.95, 358,722.23 and 145,208.82

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Solution

The fourth proportional to 259,952.95, 358,722.23 and 145,208.82 is: 200,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,952.95 : 358,722.23 = 145,208.82 : x
  2. Step 2: Convert to fraction form
    259,952.95/358,722.23 = 145,208.82/x
  3. Step 3: Cross multiply
    259,952.95x = 358,722.23 × 145,208.82
  4. Step 4: Simplify right side
    259,952.95x = 52,089,631,726.07
  5. Step 5: Solve for x
    x = 52,089,631,726.07/259,952.95
  6. Step 6: Final answer
    x = 200,381.00

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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.