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Finding the Fourth Proportional to 229,096.48, 315,434.64 and 208,101.28

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Solution

The fourth proportional to 229,096.48, 315,434.64 and 208,101.28 is: 286,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,096.48 : 315,434.64 = 208,101.28 : x
  2. Step 2: Convert to fraction form
    229,096.48/315,434.64 = 208,101.28/x
  3. Step 3: Cross multiply
    229,096.48x = 315,434.64 × 208,101.28
  4. Step 4: Simplify right side
    229,096.48x = 65,642,352,340.34
  5. Step 5: Solve for x
    x = 65,642,352,340.34/229,096.48
  6. Step 6: Final answer
    x = 286,527.11

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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.