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Finding the Fourth Proportional to 283,055.64, 424,635.30 and 116,752.92

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Solution

The fourth proportional to 283,055.64, 424,635.30 and 116,752.92 is: 175,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,055.64 : 424,635.30 = 116,752.92 : x
  2. Step 2: Convert to fraction form
    283,055.64/424,635.30 = 116,752.92/x
  3. Step 3: Cross multiply
    283,055.64x = 424,635.30 × 116,752.92
  4. Step 4: Simplify right side
    283,055.64x = 49,577,411,210.08
  5. Step 5: Solve for x
    x = 49,577,411,210.08/283,055.64
  6. Step 6: Final answer
    x = 175,150.76

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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.