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Finding the Fourth Proportional to 114,035.14, 157,424.70 and 71,617.06

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Solution

The fourth proportional to 114,035.14, 157,424.70 and 71,617.06 is: 98,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,035.14 : 157,424.70 = 71,617.06 : x
  2. Step 2: Convert to fraction form
    114,035.14/157,424.70 = 71,617.06/x
  3. Step 3: Cross multiply
    114,035.14x = 157,424.70 × 71,617.06
  4. Step 4: Simplify right side
    114,035.14x = 11,274,294,185.38
  5. Step 5: Solve for x
    x = 11,274,294,185.38/114,035.14
  6. Step 6: Final answer
    x = 98,866.84

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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.