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Finding the Fourth Proportional to 229,188.74, 316,215.57 and 148,619.54

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Solution

The fourth proportional to 229,188.74, 316,215.57 and 148,619.54 is: 205,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,188.74 : 316,215.57 = 148,619.54 : x
  2. Step 2: Convert to fraction form
    229,188.74/316,215.57 = 148,619.54/x
  3. Step 3: Cross multiply
    229,188.74x = 316,215.57 × 148,619.54
  4. Step 4: Simplify right side
    229,188.74x = 46,995,812,554.24
  5. Step 5: Solve for x
    x = 46,995,812,554.24/229,188.74
  6. Step 6: Final answer
    x = 205,052.89

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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.