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Finding the Fourth Proportional to 102,666.81, 153,677.59 and 65,269.11

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Solution

The fourth proportional to 102,666.81, 153,677.59 and 65,269.11 is: 97,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.81 : 153,677.59 = 65,269.11 : x
  2. Step 2: Convert to fraction form
    102,666.81/153,677.59 = 65,269.11/x
  3. Step 3: Cross multiply
    102,666.81x = 153,677.59 × 65,269.11
  4. Step 4: Simplify right side
    102,666.81x = 10,030,399,939.36
  5. Step 5: Solve for x
    x = 10,030,399,939.36/102,666.81
  6. Step 6: Final answer
    x = 97,698.56

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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.