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Finding the Fourth Proportional to 302,680.94, 417,702.51 and 166,715.38

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Solution

The fourth proportional to 302,680.94, 417,702.51 and 166,715.38 is: 230,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,680.94 : 417,702.51 = 166,715.38 : x
  2. Step 2: Convert to fraction form
    302,680.94/417,702.51 = 166,715.38/x
  3. Step 3: Cross multiply
    302,680.94x = 417,702.51 × 166,715.38
  4. Step 4: Simplify right side
    302,680.94x = 69,637,431,637.35
  5. Step 5: Solve for x
    x = 69,637,431,637.35/302,680.94
  6. Step 6: Final answer
    x = 230,068.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.