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Finding the Fourth Proportional to 171,488.34, 257,270.10 and 57,632.07

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Solution

The fourth proportional to 171,488.34, 257,270.10 and 57,632.07 is: 86,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,488.34 : 257,270.10 = 57,632.07 : x
  2. Step 2: Convert to fraction form
    171,488.34/257,270.10 = 57,632.07/x
  3. Step 3: Cross multiply
    171,488.34x = 257,270.10 × 57,632.07
  4. Step 4: Simplify right side
    171,488.34x = 14,827,008,412.11
  5. Step 5: Solve for x
    x = 14,827,008,412.11/171,488.34
  6. Step 6: Final answer
    x = 86,460.74

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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.