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Finding the Fourth Proportional to 213,017.34, 293,964.87 and 117,526.84

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Solution

The fourth proportional to 213,017.34, 293,964.87 and 117,526.84 is: 162,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,017.34 : 293,964.87 = 117,526.84 : x
  2. Step 2: Convert to fraction form
    213,017.34/293,964.87 = 117,526.84/x
  3. Step 3: Cross multiply
    213,017.34x = 293,964.87 × 117,526.84
  4. Step 4: Simplify right side
    213,017.34x = 34,548,762,242.11
  5. Step 5: Solve for x
    x = 34,548,762,242.11/213,017.34
  6. Step 6: Final answer
    x = 162,187.56

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1.5x scale

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.