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Finding the Fourth Proportional to 190,314, 262,633.32 and 114,862.48

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Solution

The fourth proportional to 190,314, 262,633.32 and 114,862.48 is: 158,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,314 : 262,633.32 = 114,862.48 : x
  2. Step 2: Convert to fraction form
    190,314/262,633.32 = 114,862.48/x
  3. Step 3: Cross multiply
    190,314x = 262,633.32 × 114,862.48
  4. Step 4: Simplify right side
    190,314x = 30,166,714,465.83
  5. Step 5: Solve for x
    x = 30,166,714,465.83/190,314
  6. Step 6: Final answer
    x = 158,510.22

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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.