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Finding the Fourth Proportional to 140,065.52, 193,293.12 and 76,405.64

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Solution

The fourth proportional to 140,065.52, 193,293.12 and 76,405.64 is: 105,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,065.52 : 193,293.12 = 76,405.64 : x
  2. Step 2: Convert to fraction form
    140,065.52/193,293.12 = 76,405.64/x
  3. Step 3: Cross multiply
    140,065.52x = 193,293.12 × 76,405.64
  4. Step 4: Simplify right side
    140,065.52x = 14,768,684,541.20
  5. Step 5: Solve for x
    x = 14,768,684,541.20/140,065.52
  6. Step 6: Final answer
    x = 105,441.26

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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.