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Finding the Fourth Proportional to 169,947.10, 254,957.10 and 51,630.40

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Solution

The fourth proportional to 169,947.10, 254,957.10 and 51,630.40 is: 77,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,947.10 : 254,957.10 = 51,630.40 : x
  2. Step 2: Convert to fraction form
    169,947.10/254,957.10 = 51,630.40/x
  3. Step 3: Cross multiply
    169,947.10x = 254,957.10 × 51,630.40
  4. Step 4: Simplify right side
    169,947.10x = 13,163,537,055.84
  5. Step 5: Solve for x
    x = 13,163,537,055.84/169,947.10
  6. Step 6: Final answer
    x = 77,456.67

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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.