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Finding the Fourth Proportional to 243,806.40, 364,996.80 and 173,822.40

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Solution

The fourth proportional to 243,806.40, 364,996.80 and 173,822.40 is: 260,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,806.40 : 364,996.80 = 173,822.40 : x
  2. Step 2: Convert to fraction form
    243,806.40/364,996.80 = 173,822.40/x
  3. Step 3: Cross multiply
    243,806.40x = 364,996.80 × 173,822.40
  4. Step 4: Simplify right side
    243,806.40x = 63,444,619,768.32
  5. Step 5: Solve for x
    x = 63,444,619,768.32/243,806.40
  6. Step 6: Final answer
    x = 260,225.41

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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.