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Finding the Fourth Proportional to 229,047.12, 316,020.42 and 148,478.04

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Solution

The fourth proportional to 229,047.12, 316,020.42 and 148,478.04 is: 204,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,047.12 : 316,020.42 = 148,478.04 : x
  2. Step 2: Convert to fraction form
    229,047.12/316,020.42 = 148,478.04/x
  3. Step 3: Cross multiply
    229,047.12x = 316,020.42 × 148,478.04
  4. Step 4: Simplify right side
    229,047.12x = 46,922,092,561.58
  5. Step 5: Solve for x
    x = 46,922,092,561.58/229,047.12
  6. Step 6: Final answer
    x = 204,857.82

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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.