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Finding the Fourth Proportional to 170,202.34, 255,342 and 56,349.94

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Solution

The fourth proportional to 170,202.34, 255,342 and 56,349.94 is: 84,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,202.34 : 255,342 = 56,349.94 : x
  2. Step 2: Convert to fraction form
    170,202.34/255,342 = 56,349.94/x
  3. Step 3: Cross multiply
    170,202.34x = 255,342 × 56,349.94
  4. Step 4: Simplify right side
    170,202.34x = 14,388,506,379.48
  5. Step 5: Solve for x
    x = 14,388,506,379.48/170,202.34
  6. Step 6: Final answer
    x = 84,537.65

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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.