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Finding the Fourth Proportional to 186,822.51, 257,820.76 and 106,261.64

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Solution

The fourth proportional to 186,822.51, 257,820.76 and 106,261.64 is: 146,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,822.51 : 257,820.76 = 106,261.64 : x
  2. Step 2: Convert to fraction form
    186,822.51/257,820.76 = 106,261.64/x
  3. Step 3: Cross multiply
    186,822.51x = 257,820.76 × 106,261.64
  4. Step 4: Simplify right side
    186,822.51x = 27,396,457,561.03
  5. Step 5: Solve for x
    x = 27,396,457,561.03/186,822.51
  6. Step 6: Final answer
    x = 146,644.31

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1.5x scale

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.