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Finding the Fourth Proportional to 250,807.16, 346,123.86 and 137,633.96

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Solution

The fourth proportional to 250,807.16, 346,123.86 and 137,633.96 is: 189,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,807.16 : 346,123.86 = 137,633.96 : x
  2. Step 2: Convert to fraction form
    250,807.16/346,123.86 = 137,633.96/x
  3. Step 3: Cross multiply
    250,807.16x = 346,123.86 × 137,633.96
  4. Step 4: Simplify right side
    250,807.16x = 47,638,397,502.29
  5. Step 5: Solve for x
    x = 47,638,397,502.29/250,807.16
  6. Step 6: Final answer
    x = 189,940.34

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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.