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Finding the Fourth Proportional to 201,607.20, 302,410.80 and 103,303.20

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Solution

The fourth proportional to 201,607.20, 302,410.80 and 103,303.20 is: 154,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,607.20 : 302,410.80 = 103,303.20 : x
  2. Step 2: Convert to fraction form
    201,607.20/302,410.80 = 103,303.20/x
  3. Step 3: Cross multiply
    201,607.20x = 302,410.80 × 103,303.20
  4. Step 4: Simplify right side
    201,607.20x = 31,240,003,354.56
  5. Step 5: Solve for x
    x = 31,240,003,354.56/201,607.20
  6. Step 6: Final answer
    x = 154,954.80

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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.