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Finding the Fourth Proportional to 295,149.80, 442,937.46 and 117,554.06

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Solution

The fourth proportional to 295,149.80, 442,937.46 and 117,554.06 is: 176,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,149.80 : 442,937.46 = 117,554.06 : x
  2. Step 2: Convert to fraction form
    295,149.80/442,937.46 = 117,554.06/x
  3. Step 3: Cross multiply
    295,149.80x = 442,937.46 × 117,554.06
  4. Step 4: Simplify right side
    295,149.80x = 52,069,096,749.09
  5. Step 5: Solve for x
    x = 52,069,096,749.09/295,149.80
  6. Step 6: Final answer
    x = 176,415.83

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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.