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Finding the Fourth Proportional to 165,354, 248,031 and 48,618

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Solution

The fourth proportional to 165,354, 248,031 and 48,618 is: 72,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,354 : 248,031 = 48,618 : x
  2. Step 2: Convert to fraction form
    165,354/248,031 = 48,618/x
  3. Step 3: Cross multiply
    165,354x = 248,031 × 48,618
  4. Step 4: Simplify right side
    165,354x = 12,058,771,158
  5. Step 5: Solve for x
    x = 12,058,771,158/165,354
  6. Step 6: Final answer
    x = 72,927

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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.