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Finding the Fourth Proportional to 128,322.40, 177,023.40 and 83,014.60

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Solution

The fourth proportional to 128,322.40, 177,023.40 and 83,014.60 is: 114,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,322.40 : 177,023.40 = 83,014.60 : x
  2. Step 2: Convert to fraction form
    128,322.40/177,023.40 = 83,014.60/x
  3. Step 3: Cross multiply
    128,322.40x = 177,023.40 × 83,014.60
  4. Step 4: Simplify right side
    128,322.40x = 14,695,526,741.64
  5. Step 5: Solve for x
    x = 14,695,526,741.64/128,322.40
  6. Step 6: Final answer
    x = 114,520.35

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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.