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Finding the Fourth Proportional to 257,774.94, 386,647.02 and 153,259.02

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Solution

The fourth proportional to 257,774.94, 386,647.02 and 153,259.02 is: 229,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,774.94 : 386,647.02 = 153,259.02 : x
  2. Step 2: Convert to fraction form
    257,774.94/386,647.02 = 153,259.02/x
  3. Step 3: Cross multiply
    257,774.94x = 386,647.02 × 153,259.02
  4. Step 4: Simplify right side
    257,774.94x = 59,257,143,371.12
  5. Step 5: Solve for x
    x = 59,257,143,371.12/257,774.94
  6. Step 6: Final answer
    x = 229,879.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.