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Finding the Fourth Proportional to 213,426.99, 294,525.16 and 117,931.63

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Solution

The fourth proportional to 213,426.99, 294,525.16 and 117,931.63 is: 162,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,426.99 : 294,525.16 = 117,931.63 : x
  2. Step 2: Convert to fraction form
    213,426.99/294,525.16 = 117,931.63/x
  3. Step 3: Cross multiply
    213,426.99x = 294,525.16 × 117,931.63
  4. Step 4: Simplify right side
    213,426.99x = 34,733,832,194.81
  5. Step 5: Solve for x
    x = 34,733,832,194.81/213,426.99
  6. Step 6: Final answer
    x = 162,743.39

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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.