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Finding the Fourth Proportional to 189,417.60, 283,780.80 and 115,459.20

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Solution

The fourth proportional to 189,417.60, 283,780.80 and 115,459.20 is: 172,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,417.60 : 283,780.80 = 115,459.20 : x
  2. Step 2: Convert to fraction form
    189,417.60/283,780.80 = 115,459.20/x
  3. Step 3: Cross multiply
    189,417.60x = 283,780.80 × 115,459.20
  4. Step 4: Simplify right side
    189,417.60x = 32,765,104,143.36
  5. Step 5: Solve for x
    x = 32,765,104,143.36/189,417.60
  6. Step 6: Final answer
    x = 172,978.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.