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Finding the Fourth Proportional to 209,592.72, 314,427.92 and 69,352.56

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Solution

The fourth proportional to 209,592.72, 314,427.92 and 69,352.56 is: 104,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,592.72 : 314,427.92 = 69,352.56 : x
  2. Step 2: Convert to fraction form
    209,592.72/314,427.92 = 69,352.56/x
  3. Step 3: Cross multiply
    209,592.72x = 314,427.92 × 69,352.56
  4. Step 4: Simplify right side
    209,592.72x = 21,806,381,187.48
  5. Step 5: Solve for x
    x = 21,806,381,187.48/209,592.72
  6. Step 6: Final answer
    x = 104,041.69

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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.