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Finding the Fourth Proportional to 202,051.10, 303,113.10 and 101,959.40

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Solution

The fourth proportional to 202,051.10, 303,113.10 and 101,959.40 is: 152,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,051.10 : 303,113.10 = 101,959.40 : x
  2. Step 2: Convert to fraction form
    202,051.10/303,113.10 = 101,959.40/x
  3. Step 3: Cross multiply
    202,051.10x = 303,113.10 × 101,959.40
  4. Step 4: Simplify right side
    202,051.10x = 30,905,229,808.14
  5. Step 5: Solve for x
    x = 30,905,229,808.14/202,051.10
  6. Step 6: Final answer
    x = 152,957.49

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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.