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Finding the Fourth Proportional to 152,017.86, 227,961.16 and 46,813.44

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Solution

The fourth proportional to 152,017.86, 227,961.16 and 46,813.44 is: 70,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,017.86 : 227,961.16 = 46,813.44 : x
  2. Step 2: Convert to fraction form
    152,017.86/227,961.16 = 46,813.44/x
  3. Step 3: Cross multiply
    152,017.86x = 227,961.16 × 46,813.44
  4. Step 4: Simplify right side
    152,017.86x = 10,671,646,085.99
  5. Step 5: Solve for x
    x = 10,671,646,085.99/152,017.86
  6. Step 6: Final answer
    x = 70,199.95

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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.