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Finding the Fourth Proportional to 166,466.92, 249,692.46 and 77,689.48

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Solution

The fourth proportional to 166,466.92, 249,692.46 and 77,689.48 is: 116,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,466.92 : 249,692.46 = 77,689.48 : x
  2. Step 2: Convert to fraction form
    166,466.92/249,692.46 = 77,689.48/x
  3. Step 3: Cross multiply
    166,466.92x = 249,692.46 × 77,689.48
  4. Step 4: Simplify right side
    166,466.92x = 19,398,477,377.32
  5. Step 5: Solve for x
    x = 19,398,477,377.32/166,466.92
  6. Step 6: Final answer
    x = 116,530.52

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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.