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Finding the Fourth Proportional to 114,073.79, 157,374.27 and 65,664.14

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Solution

The fourth proportional to 114,073.79, 157,374.27 and 65,664.14 is: 90,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,073.79 : 157,374.27 = 65,664.14 : x
  2. Step 2: Convert to fraction form
    114,073.79/157,374.27 = 65,664.14/x
  3. Step 3: Cross multiply
    114,073.79x = 157,374.27 × 65,664.14
  4. Step 4: Simplify right side
    114,073.79x = 10,333,844,982.49
  5. Step 5: Solve for x
    x = 10,333,844,982.49/114,073.79
  6. Step 6: Final answer
    x = 90,589.13

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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.