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Finding the Fourth Proportional to 229,344.65, 316,506.11 and 127,370.57

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Solution

The fourth proportional to 229,344.65, 316,506.11 and 127,370.57 is: 175,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,344.65 : 316,506.11 = 127,370.57 : x
  2. Step 2: Convert to fraction form
    229,344.65/316,506.11 = 127,370.57/x
  3. Step 3: Cross multiply
    229,344.65x = 316,506.11 × 127,370.57
  4. Step 4: Simplify right side
    229,344.65x = 40,313,563,639.18
  5. Step 5: Solve for x
    x = 40,313,563,639.18/229,344.65
  6. Step 6: Final answer
    x = 175,777.21

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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.