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Finding the Fourth Proportional to 231,875.80, 347,813.70 and 74,109.40

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Solution

The fourth proportional to 231,875.80, 347,813.70 and 74,109.40 is: 111,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,875.80 : 347,813.70 = 74,109.40 : x
  2. Step 2: Convert to fraction form
    231,875.80/347,813.70 = 74,109.40/x
  3. Step 3: Cross multiply
    231,875.80x = 347,813.70 × 74,109.40
  4. Step 4: Simplify right side
    231,875.80x = 25,776,264,618.78
  5. Step 5: Solve for x
    x = 25,776,264,618.78/231,875.80
  6. Step 6: Final answer
    x = 111,164.10

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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.