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Finding the Fourth Proportional to 174,252, 261,379.28 and 42,924

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Solution

The fourth proportional to 174,252, 261,379.28 and 42,924 is: 64,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,252 : 261,379.28 = 42,924 : x
  2. Step 2: Convert to fraction form
    174,252/261,379.28 = 42,924/x
  3. Step 3: Cross multiply
    174,252x = 261,379.28 × 42,924
  4. Step 4: Simplify right side
    174,252x = 11,219,444,214.72
  5. Step 5: Solve for x
    x = 11,219,444,214.72/174,252
  6. Step 6: Final answer
    x = 64,386.32

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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.