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Finding the Fourth Proportional to 171,461.70, 257,189.67 and 46,802.70

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Solution

The fourth proportional to 171,461.70, 257,189.67 and 46,802.70 is: 70,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,461.70 : 257,189.67 = 46,802.70 : x
  2. Step 2: Convert to fraction form
    171,461.70/257,189.67 = 46,802.70/x
  3. Step 3: Cross multiply
    171,461.70x = 257,189.67 × 46,802.70
  4. Step 4: Simplify right side
    171,461.70x = 12,037,170,968.11
  5. Step 5: Solve for x
    x = 12,037,170,968.11/171,461.70
  6. Step 6: Final answer
    x = 70,203.26

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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.