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Finding the Fourth Proportional to 213,018.30, 293,960.34 and 117,525

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Solution

The fourth proportional to 213,018.30, 293,960.34 and 117,525 is: 162,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,018.30 : 293,960.34 = 117,525 : x
  2. Step 2: Convert to fraction form
    213,018.30/293,960.34 = 117,525/x
  3. Step 3: Cross multiply
    213,018.30x = 293,960.34 × 117,525
  4. Step 4: Simplify right side
    213,018.30x = 34,547,688,958.50
  5. Step 5: Solve for x
    x = 34,547,688,958.50/213,018.30
  6. Step 6: Final answer
    x = 162,181.79

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1.5x scale

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.