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Finding the Fourth Proportional to 230,303.27, 317,819.21 and 133,525.95

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Solution

The fourth proportional to 230,303.27, 317,819.21 and 133,525.95 is: 184,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,303.27 : 317,819.21 = 133,525.95 : x
  2. Step 2: Convert to fraction form
    230,303.27/317,819.21 = 133,525.95/x
  3. Step 3: Cross multiply
    230,303.27x = 317,819.21 × 133,525.95
  4. Step 4: Simplify right side
    230,303.27x = 42,437,111,275.87
  5. Step 5: Solve for x
    x = 42,437,111,275.87/230,303.27
  6. Step 6: Final answer
    x = 184,266.22

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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.