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Finding the Fourth Proportional to 114,066.30, 170,978.49 and 43,915.26

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Solution

The fourth proportional to 114,066.30, 170,978.49 and 43,915.26 is: 65,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,066.30 : 170,978.49 = 43,915.26 : x
  2. Step 2: Convert to fraction form
    114,066.30/170,978.49 = 43,915.26/x
  3. Step 3: Cross multiply
    114,066.30x = 170,978.49 × 43,915.26
  4. Step 4: Simplify right side
    114,066.30x = 7,508,564,842.76
  5. Step 5: Solve for x
    x = 7,508,564,842.76/114,066.30
  6. Step 6: Final answer
    x = 65,826.32

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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.