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Finding the Fourth Proportional to 216,980.16, 299,281.92 and 184,632

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Solution

The fourth proportional to 216,980.16, 299,281.92 and 184,632 is: 254,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,980.16 : 299,281.92 = 184,632 : x
  2. Step 2: Convert to fraction form
    216,980.16/299,281.92 = 184,632/x
  3. Step 3: Cross multiply
    216,980.16x = 299,281.92 × 184,632
  4. Step 4: Simplify right side
    216,980.16x = 55,257,019,453.44
  5. Step 5: Solve for x
    x = 55,257,019,453.44/216,980.16
  6. Step 6: Final answer
    x = 254,663.93

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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.