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Finding the Fourth Proportional to 186,715.72, 257,594.34 and 114,971.32

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Solution

The fourth proportional to 186,715.72, 257,594.34 and 114,971.32 is: 158,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,715.72 : 257,594.34 = 114,971.32 : x
  2. Step 2: Convert to fraction form
    186,715.72/257,594.34 = 114,971.32/x
  3. Step 3: Cross multiply
    186,715.72x = 257,594.34 × 114,971.32
  4. Step 4: Simplify right side
    186,715.72x = 29,615,961,294.33
  5. Step 5: Solve for x
    x = 29,615,961,294.33/186,715.72
  6. Step 6: Final answer
    x = 158,615.25

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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.