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Finding the Fourth Proportional to 201,365.02, 302,045.10 and 51,604.12

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Solution

The fourth proportional to 201,365.02, 302,045.10 and 51,604.12 is: 77,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,365.02 : 302,045.10 = 51,604.12 : x
  2. Step 2: Convert to fraction form
    201,365.02/302,045.10 = 51,604.12/x
  3. Step 3: Cross multiply
    201,365.02x = 302,045.10 × 51,604.12
  4. Step 4: Simplify right side
    201,365.02x = 15,586,771,585.81
  5. Step 5: Solve for x
    x = 15,586,771,585.81/201,365.02
  6. Step 6: Final answer
    x = 77,405.56

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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.