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Finding the Fourth Proportional to 211,549.16, 316,837.74 and 177,840.20

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Solution

The fourth proportional to 211,549.16, 316,837.74 and 177,840.20 is: 266,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,549.16 : 316,837.74 = 177,840.20 : x
  2. Step 2: Convert to fraction form
    211,549.16/316,837.74 = 177,840.20/x
  3. Step 3: Cross multiply
    211,549.16x = 316,837.74 × 177,840.20
  4. Step 4: Simplify right side
    211,549.16x = 56,346,487,049.15
  5. Step 5: Solve for x
    x = 56,346,487,049.15/211,549.16
  6. Step 6: Final answer
    x = 266,351.74

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1.5x scale

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.