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Finding the Fourth Proportional to 116,580.80, 174,914.40 and 46,510.40

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Solution

The fourth proportional to 116,580.80, 174,914.40 and 46,510.40 is: 69,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,580.80 : 174,914.40 = 46,510.40 : x
  2. Step 2: Convert to fraction form
    116,580.80/174,914.40 = 46,510.40/x
  3. Step 3: Cross multiply
    116,580.80x = 174,914.40 × 46,510.40
  4. Step 4: Simplify right side
    116,580.80x = 8,135,338,709.76
  5. Step 5: Solve for x
    x = 8,135,338,709.76/116,580.80
  6. Step 6: Final answer
    x = 69,782.83

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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.