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Finding the Fourth Proportional to 229,613.17, 316,736.74 and 137,708.01

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Solution

The fourth proportional to 229,613.17, 316,736.74 and 137,708.01 is: 189,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,613.17 : 316,736.74 = 137,708.01 : x
  2. Step 2: Convert to fraction form
    229,613.17/316,736.74 = 137,708.01/x
  3. Step 3: Cross multiply
    229,613.17x = 316,736.74 × 137,708.01
  4. Step 4: Simplify right side
    229,613.17x = 43,617,186,159.29
  5. Step 5: Solve for x
    x = 43,617,186,159.29/229,613.17
  6. Step 6: Final answer
    x = 189,959.43

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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.