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Finding the Fourth Proportional to 140,783.57, 211,202.89 and 61,897.53

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Solution

The fourth proportional to 140,783.57, 211,202.89 and 61,897.53 is: 92,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,783.57 : 211,202.89 = 61,897.53 : x
  2. Step 2: Convert to fraction form
    140,783.57/211,202.89 = 61,897.53/x
  3. Step 3: Cross multiply
    140,783.57x = 211,202.89 × 61,897.53
  4. Step 4: Simplify right side
    140,783.57x = 13,072,937,219.86
  5. Step 5: Solve for x
    x = 13,072,937,219.86/140,783.57
  6. Step 6: Final answer
    x = 92,858.40

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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.