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Finding the Fourth Proportional to 172,869, 259,347.24 and 48,210

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Solution

The fourth proportional to 172,869, 259,347.24 and 48,210 is: 72,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,869 : 259,347.24 = 48,210 : x
  2. Step 2: Convert to fraction form
    172,869/259,347.24 = 48,210/x
  3. Step 3: Cross multiply
    172,869x = 259,347.24 × 48,210
  4. Step 4: Simplify right side
    172,869x = 12,503,130,440.40
  5. Step 5: Solve for x
    x = 12,503,130,440.40/172,869
  6. Step 6: Final answer
    x = 72,327.20

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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.