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Finding the Fourth Proportional to 292,114.50, 438,171.75 and 70,498.50

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Solution

The fourth proportional to 292,114.50, 438,171.75 and 70,498.50 is: 105,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,114.50 : 438,171.75 = 70,498.50 : x
  2. Step 2: Convert to fraction form
    292,114.50/438,171.75 = 70,498.50/x
  3. Step 3: Cross multiply
    292,114.50x = 438,171.75 × 70,498.50
  4. Step 4: Simplify right side
    292,114.50x = 30,890,451,117.38
  5. Step 5: Solve for x
    x = 30,890,451,117.38/292,114.50
  6. Step 6: Final answer
    x = 105,747.75

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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.