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Finding the Fourth Proportional to 114,532, 158,123.28 and 74,857.12

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Solution

The fourth proportional to 114,532, 158,123.28 and 74,857.12 is: 103,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,532 : 158,123.28 = 74,857.12 : x
  2. Step 2: Convert to fraction form
    114,532/158,123.28 = 74,857.12/x
  3. Step 3: Cross multiply
    114,532x = 158,123.28 × 74,857.12
  4. Step 4: Simplify right side
    114,532x = 11,836,653,345.75
  5. Step 5: Solve for x
    x = 11,836,653,345.75/114,532
  6. Step 6: Final answer
    x = 103,348.00

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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.