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Finding the Fourth Proportional to 201,964.51, 302,359.92 and 117,466.93

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Solution

The fourth proportional to 201,964.51, 302,359.92 and 117,466.93 is: 175,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,964.51 : 302,359.92 = 117,466.93 : x
  2. Step 2: Convert to fraction form
    201,964.51/302,359.92 = 117,466.93/x
  3. Step 3: Cross multiply
    201,964.51x = 302,359.92 × 117,466.93
  4. Step 4: Simplify right side
    201,964.51x = 35,517,291,557.45
  5. Step 5: Solve for x
    x = 35,517,291,557.45/201,964.51
  6. Step 6: Final answer
    x = 175,859.07

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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.