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Finding the Fourth Proportional to 127,854.07, 191,808.78 and 48,968.30

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Solution

The fourth proportional to 127,854.07, 191,808.78 and 48,968.30 is: 73,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,854.07 : 191,808.78 = 48,968.30 : x
  2. Step 2: Convert to fraction form
    127,854.07/191,808.78 = 48,968.30/x
  3. Step 3: Cross multiply
    127,854.07x = 191,808.78 × 48,968.30
  4. Step 4: Simplify right side
    127,854.07x = 9,392,549,511.81
  5. Step 5: Solve for x
    x = 9,392,549,511.81/127,854.07
  6. Step 6: Final answer
    x = 73,463.05

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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.