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Finding the Fourth Proportional to 537,858.21, 806,599.23 and 158,678.25

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Solution

The fourth proportional to 537,858.21, 806,599.23 and 158,678.25 is: 237,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,858.21 : 806,599.23 = 158,678.25 : x
  2. Step 2: Convert to fraction form
    537,858.21/806,599.23 = 158,678.25/x
  3. Step 3: Cross multiply
    537,858.21x = 806,599.23 × 158,678.25
  4. Step 4: Simplify right side
    537,858.21x = 127,989,754,267.75
  5. Step 5: Solve for x
    x = 127,989,754,267.75/537,858.21
  6. Step 6: Final answer
    x = 237,961.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.