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Finding the Fourth Proportional to 229,443.40, 316,896.78 and 152,836.30

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Solution

The fourth proportional to 229,443.40, 316,896.78 and 152,836.30 is: 211,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,443.40 : 316,896.78 = 152,836.30 : x
  2. Step 2: Convert to fraction form
    229,443.40/316,896.78 = 152,836.30/x
  3. Step 3: Cross multiply
    229,443.40x = 316,896.78 × 152,836.30
  4. Step 4: Simplify right side
    229,443.40x = 48,433,331,337.11
  5. Step 5: Solve for x
    x = 48,433,331,337.11/229,443.40
  6. Step 6: Final answer
    x = 211,090.54

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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.