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Finding the Fourth Proportional to 116,822.80, 175,277.40 and 46,752.40

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Solution

The fourth proportional to 116,822.80, 175,277.40 and 46,752.40 is: 70,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,822.80 : 175,277.40 = 46,752.40 : x
  2. Step 2: Convert to fraction form
    116,822.80/175,277.40 = 46,752.40/x
  3. Step 3: Cross multiply
    116,822.80x = 175,277.40 × 46,752.40
  4. Step 4: Simplify right side
    116,822.80x = 8,194,639,115.76
  5. Step 5: Solve for x
    x = 8,194,639,115.76/116,822.80
  6. Step 6: Final answer
    x = 70,145.89

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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.