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Finding the Fourth Proportional to 114,345.84, 157,744.32 and 74,072.88

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Solution

The fourth proportional to 114,345.84, 157,744.32 and 74,072.88 is: 102,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,345.84 : 157,744.32 = 74,072.88 : x
  2. Step 2: Convert to fraction form
    114,345.84/157,744.32 = 74,072.88/x
  3. Step 3: Cross multiply
    114,345.84x = 157,744.32 × 74,072.88
  4. Step 4: Simplify right side
    114,345.84x = 11,684,576,086.04
  5. Step 5: Solve for x
    x = 11,684,576,086.04/114,345.84
  6. Step 6: Final answer
    x = 102,186.28

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1.5x scale

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.