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Finding the Fourth Proportional to 211,783.37, 317,675.16 and 132,952.95

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Solution

The fourth proportional to 211,783.37, 317,675.16 and 132,952.95 is: 199,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,783.37 : 317,675.16 = 132,952.95 : x
  2. Step 2: Convert to fraction form
    211,783.37/317,675.16 = 132,952.95/x
  3. Step 3: Cross multiply
    211,783.37x = 317,675.16 × 132,952.95
  4. Step 4: Simplify right side
    211,783.37x = 42,235,849,663.72
  5. Step 5: Solve for x
    x = 42,235,849,663.72/211,783.37
  6. Step 6: Final answer
    x = 199,429.50

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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.