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Finding the Fourth Proportional to 306,875.40, 459,742.86 and 166,751.88

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Solution

The fourth proportional to 306,875.40, 459,742.86 and 166,751.88 is: 249,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,875.40 : 459,742.86 = 166,751.88 : x
  2. Step 2: Convert to fraction form
    306,875.40/459,742.86 = 166,751.88/x
  3. Step 3: Cross multiply
    306,875.40x = 459,742.86 × 166,751.88
  4. Step 4: Simplify right side
    306,875.40x = 76,662,986,221.58
  5. Step 5: Solve for x
    x = 76,662,986,221.58/306,875.40
  6. Step 6: Final answer
    x = 249,817.96

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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.