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Finding the Fourth Proportional to 214,670.93, 322,007.51 and 125,862.16

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Solution

The fourth proportional to 214,670.93, 322,007.51 and 125,862.16 is: 188,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,670.93 : 322,007.51 = 125,862.16 : x
  2. Step 2: Convert to fraction form
    214,670.93/322,007.51 = 125,862.16/x
  3. Step 3: Cross multiply
    214,670.93x = 322,007.51 × 125,862.16
  4. Step 4: Simplify right side
    214,670.93x = 40,528,560,254.46
  5. Step 5: Solve for x
    x = 40,528,560,254.46/214,670.93
  6. Step 6: Final answer
    x = 188,793.89

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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.