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Finding the Fourth Proportional to 183,870.40, 253,737.84 and 102,203.68

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Solution

The fourth proportional to 183,870.40, 253,737.84 and 102,203.68 is: 141,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,870.40 : 253,737.84 = 102,203.68 : x
  2. Step 2: Convert to fraction form
    183,870.40/253,737.84 = 102,203.68/x
  3. Step 3: Cross multiply
    183,870.40x = 253,737.84 × 102,203.68
  4. Step 4: Simplify right side
    183,870.40x = 25,932,941,003.25
  5. Step 5: Solve for x
    x = 25,932,941,003.25/183,870.40
  6. Step 6: Final answer
    x = 141,039.24

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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.