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Finding the Fourth Proportional to 190,663.94, 286,053.32 and 171,855.74

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Solution

The fourth proportional to 190,663.94, 286,053.32 and 171,855.74 is: 257,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,663.94 : 286,053.32 = 171,855.74 : x
  2. Step 2: Convert to fraction form
    190,663.94/286,053.32 = 171,855.74/x
  3. Step 3: Cross multiply
    190,663.94x = 286,053.32 × 171,855.74
  4. Step 4: Simplify right side
    190,663.94x = 49,159,906,132.83
  5. Step 5: Solve for x
    x = 49,159,906,132.83/190,663.94
  6. Step 6: Final answer
    x = 257,835.36

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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.