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Finding the Fourth Proportional to 114,973.63, 172,461.21 and 40,093.48

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Solution

The fourth proportional to 114,973.63, 172,461.21 and 40,093.48 is: 60,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,973.63 : 172,461.21 = 40,093.48 : x
  2. Step 2: Convert to fraction form
    114,973.63/172,461.21 = 40,093.48/x
  3. Step 3: Cross multiply
    114,973.63x = 172,461.21 × 40,093.48
  4. Step 4: Simplify right side
    114,973.63x = 6,914,570,294.19
  5. Step 5: Solve for x
    x = 6,914,570,294.19/114,973.63
  6. Step 6: Final answer
    x = 60,140.49

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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.