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Finding the Fourth Proportional to 166,492.97, 249,697.88 and 65,311.58

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Solution

The fourth proportional to 166,492.97, 249,697.88 and 65,311.58 is: 97,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,492.97 : 249,697.88 = 65,311.58 : x
  2. Step 2: Convert to fraction form
    166,492.97/249,697.88 = 65,311.58/x
  3. Step 3: Cross multiply
    166,492.97x = 249,697.88 × 65,311.58
  4. Step 4: Simplify right side
    166,492.97x = 16,308,163,363.14
  5. Step 5: Solve for x
    x = 16,308,163,363.14/166,492.97
  6. Step 6: Final answer
    x = 97,951.07

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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.