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Finding the Fourth Proportional to 217,032.16, 299,431.52 and 126,368.70

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Solution

The fourth proportional to 217,032.16, 299,431.52 and 126,368.70 is: 174,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,032.16 : 299,431.52 = 126,368.70 : x
  2. Step 2: Convert to fraction form
    217,032.16/299,431.52 = 126,368.70/x
  3. Step 3: Cross multiply
    217,032.16x = 299,431.52 × 126,368.70
  4. Step 4: Simplify right side
    217,032.16x = 37,838,771,289.58
  5. Step 5: Solve for x
    x = 37,838,771,289.58/217,032.16
  6. Step 6: Final answer
    x = 174,346.38

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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.