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Finding the Fourth Proportional to 151,683.88, 209,323.75 and 84,615.88

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Solution

The fourth proportional to 151,683.88, 209,323.75 and 84,615.88 is: 116,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,683.88 : 209,323.75 = 84,615.88 : x
  2. Step 2: Convert to fraction form
    151,683.88/209,323.75 = 84,615.88/x
  3. Step 3: Cross multiply
    151,683.88x = 209,323.75 × 84,615.88
  4. Step 4: Simplify right side
    151,683.88x = 17,712,113,311.15
  5. Step 5: Solve for x
    x = 17,712,113,311.15/151,683.88
  6. Step 6: Final answer
    x = 116,769.91

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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.