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Finding the Fourth Proportional to 186,594.66, 257,490.91 and 106,011

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Solution

The fourth proportional to 186,594.66, 257,490.91 and 106,011 is: 146,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,594.66 : 257,490.91 = 106,011 : x
  2. Step 2: Convert to fraction form
    186,594.66/257,490.91 = 106,011/x
  3. Step 3: Cross multiply
    186,594.66x = 257,490.91 × 106,011
  4. Step 4: Simplify right side
    186,594.66x = 27,296,868,594.98
  5. Step 5: Solve for x
    x = 27,296,868,594.98/186,594.66
  6. Step 6: Final answer
    x = 146,289.66

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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.