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Finding the Fourth Proportional to 171,885.40, 257,828.10 and 160,221.40

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Solution

The fourth proportional to 171,885.40, 257,828.10 and 160,221.40 is: 240,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,885.40 : 257,828.10 = 160,221.40 : x
  2. Step 2: Convert to fraction form
    171,885.40/257,828.10 = 160,221.40/x
  3. Step 3: Cross multiply
    171,885.40x = 257,828.10 × 160,221.40
  4. Step 4: Simplify right side
    171,885.40x = 41,309,579,141.34
  5. Step 5: Solve for x
    x = 41,309,579,141.34/171,885.40
  6. Step 6: Final answer
    x = 240,332.10

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1.5x scale

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.