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Finding the Fourth Proportional to 207,953.10, 311,929.65 and 194,831.10

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Solution

The fourth proportional to 207,953.10, 311,929.65 and 194,831.10 is: 292,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,953.10 : 311,929.65 = 194,831.10 : x
  2. Step 2: Convert to fraction form
    207,953.10/311,929.65 = 194,831.10/x
  3. Step 3: Cross multiply
    207,953.10x = 311,929.65 × 194,831.10
  4. Step 4: Simplify right side
    207,953.10x = 60,773,596,832.12
  5. Step 5: Solve for x
    x = 60,773,596,832.12/207,953.10
  6. Step 6: Final answer
    x = 292,246.65

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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.