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Finding the Fourth Proportional to 310,888.64, 466,283.54 and 111,171.80

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Solution

The fourth proportional to 310,888.64, 466,283.54 and 111,171.80 is: 166,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,888.64 : 466,283.54 = 111,171.80 : x
  2. Step 2: Convert to fraction form
    310,888.64/466,283.54 = 111,171.80/x
  3. Step 3: Cross multiply
    310,888.64x = 466,283.54 × 111,171.80
  4. Step 4: Simplify right side
    310,888.64x = 51,837,580,452.17
  5. Step 5: Solve for x
    x = 51,837,580,452.17/310,888.64
  6. Step 6: Final answer
    x = 166,740.03

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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.