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Finding the Fourth Proportional to 186,813.72, 257,808.64 and 106,252.86

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Solution

The fourth proportional to 186,813.72, 257,808.64 and 106,252.86 is: 146,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,813.72 : 257,808.64 = 106,252.86 : x
  2. Step 2: Convert to fraction form
    186,813.72/257,808.64 = 106,252.86/x
  3. Step 3: Cross multiply
    186,813.72x = 257,808.64 × 106,252.86
  4. Step 4: Simplify right side
    186,813.72x = 27,392,905,332.71
  5. Step 5: Solve for x
    x = 27,392,905,332.71/186,813.72
  6. Step 6: Final answer
    x = 146,632.19

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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.