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Finding the Fourth Proportional to 164,304.66, 226,798.53 and 97,236.50

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Solution

The fourth proportional to 164,304.66, 226,798.53 and 97,236.50 is: 134,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,304.66 : 226,798.53 = 97,236.50 : x
  2. Step 2: Convert to fraction form
    164,304.66/226,798.53 = 97,236.50/x
  3. Step 3: Cross multiply
    164,304.66x = 226,798.53 × 97,236.50
  4. Step 4: Simplify right side
    164,304.66x = 22,053,095,262.35
  5. Step 5: Solve for x
    x = 22,053,095,262.35/164,304.66
  6. Step 6: Final answer
    x = 134,220.75

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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.