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Finding the Fourth Proportional to 537,194.36, 805,703.94 and 158,026.40

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Solution

The fourth proportional to 537,194.36, 805,703.94 and 158,026.40 is: 237,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,194.36 : 805,703.94 = 158,026.40 : x
  2. Step 2: Convert to fraction form
    537,194.36/805,703.94 = 158,026.40/x
  3. Step 3: Cross multiply
    537,194.36x = 805,703.94 × 158,026.40
  4. Step 4: Simplify right side
    537,194.36x = 127,322,493,104.02
  5. Step 5: Solve for x
    x = 127,322,493,104.02/537,194.36
  6. Step 6: Final answer
    x = 237,013.83

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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.