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Finding the Fourth Proportional to 116,784.96, 175,308.48 and 46,713.60

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Solution

The fourth proportional to 116,784.96, 175,308.48 and 46,713.60 is: 70,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,784.96 : 175,308.48 = 46,713.60 : x
  2. Step 2: Convert to fraction form
    116,784.96/175,308.48 = 46,713.60/x
  3. Step 3: Cross multiply
    116,784.96x = 175,308.48 × 46,713.60
  4. Step 4: Simplify right side
    116,784.96x = 8,189,290,211.33
  5. Step 5: Solve for x
    x = 8,189,290,211.33/116,784.96
  6. Step 6: Final answer
    x = 70,122.82

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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.