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Finding the Fourth Proportional to 97,202, 134,138.76 and 52,490

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Solution

The fourth proportional to 97,202, 134,138.76 and 52,490 is: 72,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,202 : 134,138.76 = 52,490 : x
  2. Step 2: Convert to fraction form
    97,202/134,138.76 = 52,490/x
  3. Step 3: Cross multiply
    97,202x = 134,138.76 × 52,490
  4. Step 4: Simplify right side
    97,202x = 7,040,943,512.40
  5. Step 5: Solve for x
    x = 7,040,943,512.40/97,202
  6. Step 6: Final answer
    x = 72,436.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.