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Finding the Fourth Proportional to 202,748, 304,123.12 and 55,004

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Solution

The fourth proportional to 202,748, 304,123.12 and 55,004 is: 82,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,748 : 304,123.12 = 55,004 : x
  2. Step 2: Convert to fraction form
    202,748/304,123.12 = 55,004/x
  3. Step 3: Cross multiply
    202,748x = 304,123.12 × 55,004
  4. Step 4: Simplify right side
    202,748x = 16,727,988,092.48
  5. Step 5: Solve for x
    x = 16,727,988,092.48/202,748
  6. Step 6: Final answer
    x = 82,506.30

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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.