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Finding the Fourth Proportional to 691,461, 1,037,191.50 and 166,149

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Solution

The fourth proportional to 691,461, 1,037,191.50 and 166,149 is: 249,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,461 : 1,037,191.50 = 166,149 : x
  2. Step 2: Convert to fraction form
    691,461/1,037,191.50 = 166,149/x
  3. Step 3: Cross multiply
    691,461x = 1,037,191.50 × 166,149
  4. Step 4: Simplify right side
    691,461x = 172,328,330,533.50
  5. Step 5: Solve for x
    x = 172,328,330,533.50/691,461
  6. Step 6: Final answer
    x = 249,223.50

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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.