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Finding the Fourth Proportional to 229,473, 316,584 and 169,186.68

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Solution

The fourth proportional to 229,473, 316,584 and 169,186.68 is: 233,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,473 : 316,584 = 169,186.68 : x
  2. Step 2: Convert to fraction form
    229,473/316,584 = 169,186.68/x
  3. Step 3: Cross multiply
    229,473x = 316,584 × 169,186.68
  4. Step 4: Simplify right side
    229,473x = 53,561,795,901.12
  5. Step 5: Solve for x
    x = 53,561,795,901.12/229,473
  6. Step 6: Final answer
    x = 233,412.19

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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.