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Finding the Fourth Proportional to 213,973.95, 321,014.24 and 64,217.00

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Solution

The fourth proportional to 213,973.95, 321,014.24 and 64,217.00 is: 96,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,973.95 : 321,014.24 = 64,217.00 : x
  2. Step 2: Convert to fraction form
    213,973.95/321,014.24 = 64,217.00/x
  3. Step 3: Cross multiply
    213,973.95x = 321,014.24 × 64,217.00
  4. Step 4: Simplify right side
    213,973.95x = 20,614,572,172.34
  5. Step 5: Solve for x
    x = 20,614,572,172.34/213,973.95
  6. Step 6: Final answer
    x = 96,341.50

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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.