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Finding the Fourth Proportional to 163,732, 245,675.76 and 52,924

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Solution

The fourth proportional to 163,732, 245,675.76 and 52,924 is: 79,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,732 : 245,675.76 = 52,924 : x
  2. Step 2: Convert to fraction form
    163,732/245,675.76 = 52,924/x
  3. Step 3: Cross multiply
    163,732x = 245,675.76 × 52,924
  4. Step 4: Simplify right side
    163,732x = 13,002,143,922.24
  5. Step 5: Solve for x
    x = 13,002,143,922.24/163,732
  6. Step 6: Final answer
    x = 79,411.13

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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.