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Finding the Fourth Proportional to 207,547.56, 311,365.08 and 67,295.25

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Solution

The fourth proportional to 207,547.56, 311,365.08 and 67,295.25 is: 100,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,547.56 : 311,365.08 = 67,295.25 : x
  2. Step 2: Convert to fraction form
    207,547.56/311,365.08 = 67,295.25/x
  3. Step 3: Cross multiply
    207,547.56x = 311,365.08 × 67,295.25
  4. Step 4: Simplify right side
    207,547.56x = 20,953,390,899.87
  5. Step 5: Solve for x
    x = 20,953,390,899.87/207,547.56
  6. Step 6: Final answer
    x = 100,957.06

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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.