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Finding the Fourth Proportional to 134,903.88, 202,356.43 and 35,057

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Solution

The fourth proportional to 134,903.88, 202,356.43 and 35,057 is: 52,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,903.88 : 202,356.43 = 35,057 : x
  2. Step 2: Convert to fraction form
    134,903.88/202,356.43 = 35,057/x
  3. Step 3: Cross multiply
    134,903.88x = 202,356.43 × 35,057
  4. Step 4: Simplify right side
    134,903.88x = 7,094,009,366.51
  5. Step 5: Solve for x
    x = 7,094,009,366.51/134,903.88
  6. Step 6: Final answer
    x = 52,585.66

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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.