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Finding the Fourth Proportional to 114,473.25, 157,973.09 and 64,172.25

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Solution

The fourth proportional to 114,473.25, 157,973.09 and 64,172.25 is: 88,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,473.25 : 157,973.09 = 64,172.25 : x
  2. Step 2: Convert to fraction form
    114,473.25/157,973.09 = 64,172.25/x
  3. Step 3: Cross multiply
    114,473.25x = 157,973.09 × 64,172.25
  4. Step 4: Simplify right side
    114,473.25x = 10,137,488,303.89
  5. Step 5: Solve for x
    x = 10,137,488,303.89/114,473.25
  6. Step 6: Final answer
    x = 88,557.71

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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.