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Finding the Fourth Proportional to 196,209, 294,316.27 and 55,967.63

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Solution

The fourth proportional to 196,209, 294,316.27 and 55,967.63 is: 83,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,209 : 294,316.27 = 55,967.63 : x
  2. Step 2: Convert to fraction form
    196,209/294,316.27 = 55,967.63/x
  3. Step 3: Cross multiply
    196,209x = 294,316.27 × 55,967.63
  4. Step 4: Simplify right side
    196,209x = 16,472,182,490.84
  5. Step 5: Solve for x
    x = 16,472,182,490.84/196,209
  6. Step 6: Final answer
    x = 83,952.23

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1.5x scale

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.