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Finding the Fourth Proportional to 128,565, 177,419.76 and 71,977.56

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Solution

The fourth proportional to 128,565, 177,419.76 and 71,977.56 is: 99,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,565 : 177,419.76 = 71,977.56 : x
  2. Step 2: Convert to fraction form
    128,565/177,419.76 = 71,977.56/x
  3. Step 3: Cross multiply
    128,565x = 177,419.76 × 71,977.56
  4. Step 4: Simplify right side
    128,565x = 12,770,241,420.59
  5. Step 5: Solve for x
    x = 12,770,241,420.59/128,565
  6. Step 6: Final answer
    x = 99,329.07

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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.