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Finding the Fourth Proportional to 537,010.96, 805,402.94 and 157,828.82

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Solution

The fourth proportional to 537,010.96, 805,402.94 and 157,828.82 is: 236,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,010.96 : 805,402.94 = 157,828.82 : x
  2. Step 2: Convert to fraction form
    537,010.96/805,402.94 = 157,828.82/x
  3. Step 3: Cross multiply
    537,010.96x = 805,402.94 × 157,828.82
  4. Step 4: Simplify right side
    537,010.96x = 127,115,795,644.73
  5. Step 5: Solve for x
    x = 127,115,795,644.73/537,010.96
  6. Step 6: Final answer
    x = 236,709.87

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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.