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Finding the Fourth Proportional to 314,141.88, 471,210.62 and 127,150.68

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Solution

The fourth proportional to 314,141.88, 471,210.62 and 127,150.68 is: 190,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,141.88 : 471,210.62 = 127,150.68 : x
  2. Step 2: Convert to fraction form
    314,141.88/471,210.62 = 127,150.68/x
  3. Step 3: Cross multiply
    314,141.88x = 471,210.62 × 127,150.68
  4. Step 4: Simplify right side
    314,141.88x = 59,914,750,756.22
  5. Step 5: Solve for x
    x = 59,914,750,756.22/314,141.88
  6. Step 6: Final answer
    x = 190,725.13

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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.