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Finding the Fourth Proportional to 429,100.86, 643,505.49 and 148,552.50

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Solution

The fourth proportional to 429,100.86, 643,505.49 and 148,552.50 is: 222,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,100.86 : 643,505.49 = 148,552.50 : x
  2. Step 2: Convert to fraction form
    429,100.86/643,505.49 = 148,552.50/x
  3. Step 3: Cross multiply
    429,100.86x = 643,505.49 × 148,552.50
  4. Step 4: Simplify right side
    429,100.86x = 95,594,349,303.23
  5. Step 5: Solve for x
    x = 95,594,349,303.23/429,100.86
  6. Step 6: Final answer
    x = 222,778.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.