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Finding the Fourth Proportional to 201,957.38, 302,935.16 and 52,184.94

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Solution

The fourth proportional to 201,957.38, 302,935.16 and 52,184.94 is: 78,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,957.38 : 302,935.16 = 52,184.94 : x
  2. Step 2: Convert to fraction form
    201,957.38/302,935.16 = 52,184.94/x
  3. Step 3: Cross multiply
    201,957.38x = 302,935.16 × 52,184.94
  4. Step 4: Simplify right side
    201,957.38x = 15,808,651,849.41
  5. Step 5: Solve for x
    x = 15,808,651,849.41/201,957.38
  6. Step 6: Final answer
    x = 78,277.17

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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.