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Finding the Fourth Proportional to 537,016.96, 805,411.94 and 157,834.82

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Solution

The fourth proportional to 537,016.96, 805,411.94 and 157,834.82 is: 236,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,016.96 : 805,411.94 = 157,834.82 : x
  2. Step 2: Convert to fraction form
    537,016.96/805,411.94 = 157,834.82/x
  3. Step 3: Cross multiply
    537,016.96x = 805,411.94 × 157,834.82
  4. Step 4: Simplify right side
    537,016.96x = 127,122,048,575.75
  5. Step 5: Solve for x
    x = 127,122,048,575.75/537,016.96
  6. Step 6: Final answer
    x = 236,718.87

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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.