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Finding the Fourth Proportional to 264,813.76, 397,095.52 and 96,216.56

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Solution

The fourth proportional to 264,813.76, 397,095.52 and 96,216.56 is: 144,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,813.76 : 397,095.52 = 96,216.56 : x
  2. Step 2: Convert to fraction form
    264,813.76/397,095.52 = 96,216.56/x
  3. Step 3: Cross multiply
    264,813.76x = 397,095.52 × 96,216.56
  4. Step 4: Simplify right side
    264,813.76x = 38,207,164,925.81
  5. Step 5: Solve for x
    x = 38,207,164,925.81/264,813.76
  6. Step 6: Final answer
    x = 144,279.38

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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.