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Finding the Fourth Proportional to 122,505.71, 183,512.53 and 55,854.15

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Solution

The fourth proportional to 122,505.71, 183,512.53 and 55,854.15 is: 83,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,505.71 : 183,512.53 = 55,854.15 : x
  2. Step 2: Convert to fraction form
    122,505.71/183,512.53 = 55,854.15/x
  3. Step 3: Cross multiply
    122,505.71x = 183,512.53 × 55,854.15
  4. Step 4: Simplify right side
    122,505.71x = 10,249,936,477.22
  5. Step 5: Solve for x
    x = 10,249,936,477.22/122,505.71
  6. Step 6: Final answer
    x = 83,669.05

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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.