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Finding the Fourth Proportional to 212,684.64, 293,492.80 and 117,201.12

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Solution

The fourth proportional to 212,684.64, 293,492.80 and 117,201.12 is: 161,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,684.64 : 293,492.80 = 117,201.12 : x
  2. Step 2: Convert to fraction form
    212,684.64/293,492.80 = 117,201.12/x
  3. Step 3: Cross multiply
    212,684.64x = 293,492.80 × 117,201.12
  4. Step 4: Simplify right side
    212,684.64x = 34,397,684,871.94
  5. Step 5: Solve for x
    x = 34,397,684,871.94/212,684.64
  6. Step 6: Final answer
    x = 161,730.93

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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.