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Finding the Fourth Proportional to 213,073.50, 294,041.16 and 117,580.20

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Solution

The fourth proportional to 213,073.50, 294,041.16 and 117,580.20 is: 162,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,073.50 : 294,041.16 = 117,580.20 : x
  2. Step 2: Convert to fraction form
    213,073.50/294,041.16 = 117,580.20/x
  3. Step 3: Cross multiply
    213,073.50x = 294,041.16 × 117,580.20
  4. Step 4: Simplify right side
    213,073.50x = 34,573,418,401.03
  5. Step 5: Solve for x
    x = 34,573,418,401.03/213,073.50
  6. Step 6: Final answer
    x = 162,260.53

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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.