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Finding the Fourth Proportional to 283,205.63, 424,809.56 and 114,729.14

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Solution

The fourth proportional to 283,205.63, 424,809.56 and 114,729.14 is: 172,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,205.63 : 424,809.56 = 114,729.14 : x
  2. Step 2: Convert to fraction form
    283,205.63/424,809.56 = 114,729.14/x
  3. Step 3: Cross multiply
    283,205.63x = 424,809.56 × 114,729.14
  4. Step 4: Simplify right side
    283,205.63x = 48,738,036,831.43
  5. Step 5: Solve for x
    x = 48,738,036,831.43/283,205.63
  6. Step 6: Final answer
    x = 172,094.16

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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.