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Finding the Fourth Proportional to 253,681.86, 350,086.62 and 144,784.01

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Solution

The fourth proportional to 253,681.86, 350,086.62 and 144,784.01 is: 199,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,681.86 : 350,086.62 = 144,784.01 : x
  2. Step 2: Convert to fraction form
    253,681.86/350,086.62 = 144,784.01/x
  3. Step 3: Cross multiply
    253,681.86x = 350,086.62 × 144,784.01
  4. Step 4: Simplify right side
    253,681.86x = 50,686,944,690.95
  5. Step 5: Solve for x
    x = 50,686,944,690.95/253,681.86
  6. Step 6: Final answer
    x = 199,805.16

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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.