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Finding the Fourth Proportional to 171,417.40, 257,417.70 and 127,094.20

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Solution

The fourth proportional to 171,417.40, 257,417.70 and 127,094.20 is: 190,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,417.40 : 257,417.70 = 127,094.20 : x
  2. Step 2: Convert to fraction form
    171,417.40/257,417.70 = 127,094.20/x
  3. Step 3: Cross multiply
    171,417.40x = 257,417.70 × 127,094.20
  4. Step 4: Simplify right side
    171,417.40x = 32,716,296,647.34
  5. Step 5: Solve for x
    x = 32,716,296,647.34/171,417.40
  6. Step 6: Final answer
    x = 190,857.50

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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.