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Finding the Fourth Proportional to 283,077.12, 390,646.43 and 155,752.71

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Solution

The fourth proportional to 283,077.12, 390,646.43 and 155,752.71 is: 214,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,077.12 : 390,646.43 = 155,752.71 : x
  2. Step 2: Convert to fraction form
    283,077.12/390,646.43 = 155,752.71/x
  3. Step 3: Cross multiply
    283,077.12x = 390,646.43 × 155,752.71
  4. Step 4: Simplify right side
    283,077.12x = 60,844,239,345.56
  5. Step 5: Solve for x
    x = 60,844,239,345.56/283,077.12
  6. Step 6: Final answer
    x = 214,938.74

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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.