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Finding the Fourth Proportional to 209,431.60, 314,147.40 and 129,715.46

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Solution

The fourth proportional to 209,431.60, 314,147.40 and 129,715.46 is: 194,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,431.60 : 314,147.40 = 129,715.46 : x
  2. Step 2: Convert to fraction form
    209,431.60/314,147.40 = 129,715.46/x
  3. Step 3: Cross multiply
    209,431.60x = 314,147.40 × 129,715.46
  4. Step 4: Simplify right side
    209,431.60x = 40,749,774,498.80
  5. Step 5: Solve for x
    x = 40,749,774,498.80/209,431.60
  6. Step 6: Final answer
    x = 194,573.19

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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.