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Finding the Fourth Proportional to 186,409.92, 257,279.05 and 109,924.38

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Solution

The fourth proportional to 186,409.92, 257,279.05 and 109,924.38 is: 151,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,409.92 : 257,279.05 = 109,924.38 : x
  2. Step 2: Convert to fraction form
    186,409.92/257,279.05 = 109,924.38/x
  3. Step 3: Cross multiply
    186,409.92x = 257,279.05 × 109,924.38
  4. Step 4: Simplify right side
    186,409.92x = 28,281,240,058.24
  5. Step 5: Solve for x
    x = 28,281,240,058.24/186,409.92
  6. Step 6: Final answer
    x = 151,715.32

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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.