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Finding the Fourth Proportional to 216,510.46, 298,776.41 and 121,018.75

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Solution

The fourth proportional to 216,510.46, 298,776.41 and 121,018.75 is: 167,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,510.46 : 298,776.41 = 121,018.75 : x
  2. Step 2: Convert to fraction form
    216,510.46/298,776.41 = 121,018.75/x
  3. Step 3: Cross multiply
    216,510.46x = 298,776.41 × 121,018.75
  4. Step 4: Simplify right side
    216,510.46x = 36,157,546,173.81
  5. Step 5: Solve for x
    x = 36,157,546,173.81/216,510.46
  6. Step 6: Final answer
    x = 167,001.39

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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.