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Finding the Fourth Proportional to 98,172, 147,258 and 24,300

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Solution

The fourth proportional to 98,172, 147,258 and 24,300 is: 36,450

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,172 : 147,258 = 24,300 : x
  2. Step 2: Convert to fraction form
    98,172/147,258 = 24,300/x
  3. Step 3: Cross multiply
    98,172x = 147,258 × 24,300
  4. Step 4: Simplify right side
    98,172x = 3,578,369,400
  5. Step 5: Solve for x
    x = 3,578,369,400/98,172
  6. Step 6: Final answer
    x = 36,450

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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.