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Finding the Fourth Proportional to 122,447.66, 183,602.52 and 42,448.10

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Solution

The fourth proportional to 122,447.66, 183,602.52 and 42,448.10 is: 63,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,447.66 : 183,602.52 = 42,448.10 : x
  2. Step 2: Convert to fraction form
    122,447.66/183,602.52 = 42,448.10/x
  3. Step 3: Cross multiply
    122,447.66x = 183,602.52 × 42,448.10
  4. Step 4: Simplify right side
    122,447.66x = 7,793,578,129.21
  5. Step 5: Solve for x
    x = 7,793,578,129.21/122,447.66
  6. Step 6: Final answer
    x = 63,648.24

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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.