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Finding the Fourth Proportional to 209,615.60, 289,274.72 and 114,127.52

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Solution

The fourth proportional to 209,615.60, 289,274.72 and 114,127.52 is: 157,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,615.60 : 289,274.72 = 114,127.52 : x
  2. Step 2: Convert to fraction form
    209,615.60/289,274.72 = 114,127.52/x
  3. Step 3: Cross multiply
    209,615.60x = 289,274.72 × 114,127.52
  4. Step 4: Simplify right side
    209,615.60x = 33,014,206,392.29
  5. Step 5: Solve for x
    x = 33,014,206,392.29/209,615.60
  6. Step 6: Final answer
    x = 157,498.80

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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.