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Finding the Fourth Proportional to 225,152.42, 337,284.78 and 183,080

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Solution

The fourth proportional to 225,152.42, 337,284.78 and 183,080 is: 274,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,152.42 : 337,284.78 = 183,080 : x
  2. Step 2: Convert to fraction form
    225,152.42/337,284.78 = 183,080/x
  3. Step 3: Cross multiply
    225,152.42x = 337,284.78 × 183,080
  4. Step 4: Simplify right side
    225,152.42x = 61,750,097,522.40
  5. Step 5: Solve for x
    x = 61,750,097,522.40/225,152.42
  6. Step 6: Final answer
    x = 274,259.09

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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.