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Finding the Fourth Proportional to 163,706, 245,597.10 and 51,380.06

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Solution

The fourth proportional to 163,706, 245,597.10 and 51,380.06 is: 77,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,706 : 245,597.10 = 51,380.06 : x
  2. Step 2: Convert to fraction form
    163,706/245,597.10 = 51,380.06/x
  3. Step 3: Cross multiply
    163,706x = 245,597.10 × 51,380.06
  4. Step 4: Simplify right side
    163,706x = 12,618,793,733.83
  5. Step 5: Solve for x
    x = 12,618,793,733.83/163,706
  6. Step 6: Final answer
    x = 77,082.05

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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.