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Finding the Fourth Proportional to 207,209.24, 310,813.98 and 65,053.89

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Solution

The fourth proportional to 207,209.24, 310,813.98 and 65,053.89 is: 97,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,209.24 : 310,813.98 = 65,053.89 : x
  2. Step 2: Convert to fraction form
    207,209.24/310,813.98 = 65,053.89/x
  3. Step 3: Cross multiply
    207,209.24x = 310,813.98 × 65,053.89
  4. Step 4: Simplify right side
    207,209.24x = 20,219,657,438.75
  5. Step 5: Solve for x
    x = 20,219,657,438.75/207,209.24
  6. Step 6: Final answer
    x = 97,580.87

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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.