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Finding the Fourth Proportional to 114,266.54, 157,669.08 and 71,795

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Solution

The fourth proportional to 114,266.54, 157,669.08 and 71,795 is: 99,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,266.54 : 157,669.08 = 71,795 : x
  2. Step 2: Convert to fraction form
    114,266.54/157,669.08 = 71,795/x
  3. Step 3: Cross multiply
    114,266.54x = 157,669.08 × 71,795
  4. Step 4: Simplify right side
    114,266.54x = 11,319,851,598.60
  5. Step 5: Solve for x
    x = 11,319,851,598.60/114,266.54
  6. Step 6: Final answer
    x = 99,065.32

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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.