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Finding the Fourth Proportional to 149,783.88, 206,701.74 and 86,134.20

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Solution

The fourth proportional to 149,783.88, 206,701.74 and 86,134.20 is: 118,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,783.88 : 206,701.74 = 86,134.20 : x
  2. Step 2: Convert to fraction form
    149,783.88/206,701.74 = 86,134.20/x
  3. Step 3: Cross multiply
    149,783.88x = 206,701.74 × 86,134.20
  4. Step 4: Simplify right side
    149,783.88x = 17,804,089,013.51
  5. Step 5: Solve for x
    x = 17,804,089,013.51/149,783.88
  6. Step 6: Final answer
    x = 118,865.19

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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.