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Finding the Fourth Proportional to 128,914.18, 193,376.51 and 61,411.51

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Solution

The fourth proportional to 128,914.18, 193,376.51 and 61,411.51 is: 92,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,914.18 : 193,376.51 = 61,411.51 : x
  2. Step 2: Convert to fraction form
    128,914.18/193,376.51 = 61,411.51/x
  3. Step 3: Cross multiply
    128,914.18x = 193,376.51 × 61,411.51
  4. Step 4: Simplify right side
    128,914.18x = 11,875,543,477.63
  5. Step 5: Solve for x
    x = 11,875,543,477.63/128,914.18
  6. Step 6: Final answer
    x = 92,119.76

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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.