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Finding the Fourth Proportional to 442,151.07, 663,366.83 and 157,835.39

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Solution

The fourth proportional to 442,151.07, 663,366.83 and 157,835.39 is: 236,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,151.07 : 663,366.83 = 157,835.39 : x
  2. Step 2: Convert to fraction form
    442,151.07/663,366.83 = 157,835.39/x
  3. Step 3: Cross multiply
    442,151.07x = 663,366.83 × 157,835.39
  4. Step 4: Simplify right side
    442,151.07x = 104,702,760,233.08
  5. Step 5: Solve for x
    x = 104,702,760,233.08/442,151.07
  6. Step 6: Final answer
    x = 236,803.13

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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.