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Finding the Fourth Proportional to 423,146.89, 634,722.50 and 142,666.57

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Solution

The fourth proportional to 423,146.89, 634,722.50 and 142,666.57 is: 214,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,146.89 : 634,722.50 = 142,666.57 : x
  2. Step 2: Convert to fraction form
    423,146.89/634,722.50 = 142,666.57/x
  3. Step 3: Cross multiply
    423,146.89x = 634,722.50 × 142,666.57
  4. Step 4: Simplify right side
    423,146.89x = 90,553,681,976.83
  5. Step 5: Solve for x
    x = 90,553,681,976.83/423,146.89
  6. Step 6: Final answer
    x = 214,000.58

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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.