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Finding the Fourth Proportional to 125,180.51, 187,818.71 and 75,295.94

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Solution

The fourth proportional to 125,180.51, 187,818.71 and 75,295.94 is: 112,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,180.51 : 187,818.71 = 75,295.94 : x
  2. Step 2: Convert to fraction form
    125,180.51/187,818.71 = 75,295.94/x
  3. Step 3: Cross multiply
    125,180.51x = 187,818.71 × 75,295.94
  4. Step 4: Simplify right side
    125,180.51x = 14,141,985,003.46
  5. Step 5: Solve for x
    x = 14,141,985,003.46/125,180.51
  6. Step 6: Final answer
    x = 112,972.74

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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.