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Finding the Fourth Proportional to 166,510.98, 249,666.12 and 65,188.17

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Solution

The fourth proportional to 166,510.98, 249,666.12 and 65,188.17 is: 97,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,510.98 : 249,666.12 = 65,188.17 : x
  2. Step 2: Convert to fraction form
    166,510.98/249,666.12 = 65,188.17/x
  3. Step 3: Cross multiply
    166,510.98x = 249,666.12 × 65,188.17
  4. Step 4: Simplify right side
    166,510.98x = 16,275,277,473.80
  5. Step 5: Solve for x
    x = 16,275,277,473.80/166,510.98
  6. Step 6: Final answer
    x = 97,742.97

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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.