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Finding the Fourth Proportional to 186,907.79, 257,938.59 and 106,346.91

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Solution

The fourth proportional to 186,907.79, 257,938.59 and 106,346.91 is: 146,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,907.79 : 257,938.59 = 106,346.91 : x
  2. Step 2: Convert to fraction form
    186,907.79/257,938.59 = 106,346.91/x
  3. Step 3: Cross multiply
    186,907.79x = 257,938.59 × 106,346.91
  4. Step 4: Simplify right side
    186,907.79x = 27,430,972,016.26
  5. Step 5: Solve for x
    x = 27,430,972,016.26/186,907.79
  6. Step 6: Final answer
    x = 146,762.06

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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.