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Finding the Fourth Proportional to 163,314, 244,971 and 52,506

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Solution

The fourth proportional to 163,314, 244,971 and 52,506 is: 78,759

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,314 : 244,971 = 52,506 : x
  2. Step 2: Convert to fraction form
    163,314/244,971 = 52,506/x
  3. Step 3: Cross multiply
    163,314x = 244,971 × 52,506
  4. Step 4: Simplify right side
    163,314x = 12,862,447,326
  5. Step 5: Solve for x
    x = 12,862,447,326/163,314
  6. Step 6: Final answer
    x = 78,759

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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.