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Finding the Fourth Proportional to 243,180.16, 364,756.47 and 65,673.79

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Solution

The fourth proportional to 243,180.16, 364,756.47 and 65,673.79 is: 98,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,180.16 : 364,756.47 = 65,673.79 : x
  2. Step 2: Convert to fraction form
    243,180.16/364,756.47 = 65,673.79/x
  3. Step 3: Cross multiply
    243,180.16x = 364,756.47 × 65,673.79
  4. Step 4: Simplify right side
    243,180.16x = 23,954,939,811.92
  5. Step 5: Solve for x
    x = 23,954,939,811.92/243,180.16
  6. Step 6: Final answer
    x = 98,506.97

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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.