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Finding the Fourth Proportional to 122,595.28, 183,783.48 and 52,438.48

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Solution

The fourth proportional to 122,595.28, 183,783.48 and 52,438.48 is: 78,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,595.28 : 183,783.48 = 52,438.48 : x
  2. Step 2: Convert to fraction form
    122,595.28/183,783.48 = 52,438.48/x
  3. Step 3: Cross multiply
    122,595.28x = 183,783.48 × 52,438.48
  4. Step 4: Simplify right side
    122,595.28x = 9,637,326,340.31
  5. Step 5: Solve for x
    x = 9,637,326,340.31/122,595.28
  6. Step 6: Final answer
    x = 78,610.91

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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.