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Finding the Fourth Proportional to 314,091.67, 471,293.18 and 124,547.97

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Solution

The fourth proportional to 314,091.67, 471,293.18 and 124,547.97 is: 186,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,091.67 : 471,293.18 = 124,547.97 : x
  2. Step 2: Convert to fraction form
    314,091.67/471,293.18 = 124,547.97/x
  3. Step 3: Cross multiply
    314,091.67x = 471,293.18 × 124,547.97
  4. Step 4: Simplify right side
    314,091.67x = 58,698,608,843.84
  5. Step 5: Solve for x
    x = 58,698,608,843.84/314,091.67
  6. Step 6: Final answer
    x = 186,883.69

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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.