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Finding the Fourth Proportional to 229,392, 316,560.96 and 128,792.16

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Solution

The fourth proportional to 229,392, 316,560.96 and 128,792.16 is: 177,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,392 : 316,560.96 = 128,792.16 : x
  2. Step 2: Convert to fraction form
    229,392/316,560.96 = 128,792.16/x
  3. Step 3: Cross multiply
    229,392x = 316,560.96 × 128,792.16
  4. Step 4: Simplify right side
    229,392x = 40,770,569,810.07
  5. Step 5: Solve for x
    x = 40,770,569,810.07/229,392
  6. Step 6: Final answer
    x = 177,733.18

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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.