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Finding the Fourth Proportional to 207,302.36, 310,975.76 and 57,543.29

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Solution

The fourth proportional to 207,302.36, 310,975.76 and 57,543.29 is: 86,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,302.36 : 310,975.76 = 57,543.29 : x
  2. Step 2: Convert to fraction form
    207,302.36/310,975.76 = 57,543.29/x
  3. Step 3: Cross multiply
    207,302.36x = 310,975.76 × 57,543.29
  4. Step 4: Simplify right side
    207,302.36x = 17,894,566,498.06
  5. Step 5: Solve for x
    x = 17,894,566,498.06/207,302.36
  6. Step 6: Final answer
    x = 86,321.10

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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.