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Finding the Fourth Proportional to 125,503.51, 173,076.14 and 82,406.98

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Solution

The fourth proportional to 125,503.51, 173,076.14 and 82,406.98 is: 113,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,503.51 : 173,076.14 = 82,406.98 : x
  2. Step 2: Convert to fraction form
    125,503.51/173,076.14 = 82,406.98/x
  3. Step 3: Cross multiply
    125,503.51x = 173,076.14 × 82,406.98
  4. Step 4: Simplify right side
    125,503.51x = 14,262,681,811.77
  5. Step 5: Solve for x
    x = 14,262,681,811.77/125,503.51
  6. Step 6: Final answer
    x = 113,643.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.