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Finding the Fourth Proportional to 243,010.94, 364,474.40 and 109,860.26

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Solution

The fourth proportional to 243,010.94, 364,474.40 and 109,860.26 is: 164,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,010.94 : 364,474.40 = 109,860.26 : x
  2. Step 2: Convert to fraction form
    243,010.94/364,474.40 = 109,860.26/x
  3. Step 3: Cross multiply
    243,010.94x = 364,474.40 × 109,860.26
  4. Step 4: Simplify right side
    243,010.94x = 40,041,249,975.67
  5. Step 5: Solve for x
    x = 40,041,249,975.67/243,010.94
  6. Step 6: Final answer
    x = 164,771.39

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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.