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Finding the Fourth Proportional to 229,081.14, 316,133.70 and 125,714.64

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Solution

The fourth proportional to 229,081.14, 316,133.70 and 125,714.64 is: 173,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,081.14 : 316,133.70 = 125,714.64 : x
  2. Step 2: Convert to fraction form
    229,081.14/316,133.70 = 125,714.64/x
  3. Step 3: Cross multiply
    229,081.14x = 316,133.70 × 125,714.64
  4. Step 4: Simplify right side
    229,081.14x = 39,742,634,287.37
  5. Step 5: Solve for x
    x = 39,742,634,287.37/229,081.14
  6. Step 6: Final answer
    x = 173,487.15

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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.