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Finding the Fourth Proportional to 302,706.11, 417,729.33 and 166,752.77

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Solution

The fourth proportional to 302,706.11, 417,729.33 and 166,752.77 is: 230,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,706.11 : 417,729.33 = 166,752.77 : x
  2. Step 2: Convert to fraction form
    302,706.11/417,729.33 = 166,752.77/x
  3. Step 3: Cross multiply
    302,706.11x = 417,729.33 × 166,752.77
  4. Step 4: Simplify right side
    302,706.11x = 69,657,523,306.74
  5. Step 5: Solve for x
    x = 69,657,523,306.74/302,706.11
  6. Step 6: Final answer
    x = 230,116.01

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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.