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Finding the Fourth Proportional to 209,866.16, 289,615.32 and 114,372.80

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Solution

The fourth proportional to 209,866.16, 289,615.32 and 114,372.80 is: 157,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,866.16 : 289,615.32 = 114,372.80 : x
  2. Step 2: Convert to fraction form
    209,866.16/289,615.32 = 114,372.80/x
  3. Step 3: Cross multiply
    209,866.16x = 289,615.32 × 114,372.80
  4. Step 4: Simplify right side
    209,866.16x = 33,124,115,071.30
  5. Step 5: Solve for x
    x = 33,124,115,071.30/209,866.16
  6. Step 6: Final answer
    x = 157,834.47

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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.