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Finding the Fourth Proportional to 207,311.96, 310,967.76 and 57,552.14

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Solution

The fourth proportional to 207,311.96, 310,967.76 and 57,552.14 is: 86,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,311.96 : 310,967.76 = 57,552.14 : x
  2. Step 2: Convert to fraction form
    207,311.96/310,967.76 = 57,552.14/x
  3. Step 3: Cross multiply
    207,311.96x = 310,967.76 × 57,552.14
  4. Step 4: Simplify right side
    207,311.96x = 17,896,860,059.01
  5. Step 5: Solve for x
    x = 17,896,860,059.01/207,311.96
  6. Step 6: Final answer
    x = 86,328.16

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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.