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Finding the Fourth Proportional to 164,837.21, 247,357.34 and 64,980.41

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Solution

The fourth proportional to 164,837.21, 247,357.34 and 64,980.41 is: 97,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,837.21 : 247,357.34 = 64,980.41 : x
  2. Step 2: Convert to fraction form
    164,837.21/247,357.34 = 64,980.41/x
  3. Step 3: Cross multiply
    164,837.21x = 247,357.34 × 64,980.41
  4. Step 4: Simplify right side
    164,837.21x = 16,073,381,044.81
  5. Step 5: Solve for x
    x = 16,073,381,044.81/164,837.21
  6. Step 6: Final answer
    x = 97,510.64

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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.