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Finding the Fourth Proportional to 186,594.04, 257,490.06 and 106,010.38

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Solution

The fourth proportional to 186,594.04, 257,490.06 and 106,010.38 is: 146,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,594.04 : 257,490.06 = 106,010.38 : x
  2. Step 2: Convert to fraction form
    186,594.04/257,490.06 = 106,010.38/x
  3. Step 3: Cross multiply
    186,594.04x = 257,490.06 × 106,010.38
  4. Step 4: Simplify right side
    186,594.04x = 27,296,617,289.32
  5. Step 5: Solve for x
    x = 27,296,617,289.32/186,594.04
  6. Step 6: Final answer
    x = 146,288.80

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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.