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Finding the Fourth Proportional to 140,537, 211,019.28 and 122,757.50

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Solution

The fourth proportional to 140,537, 211,019.28 and 122,757.50 is: 184,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,537 : 211,019.28 = 122,757.50 : x
  2. Step 2: Convert to fraction form
    140,537/211,019.28 = 122,757.50/x
  3. Step 3: Cross multiply
    140,537x = 211,019.28 × 122,757.50
  4. Step 4: Simplify right side
    140,537x = 25,904,199,264.60
  5. Step 5: Solve for x
    x = 25,904,199,264.60/140,537
  6. Step 6: Final answer
    x = 184,322.98

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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.