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Finding the Fourth Proportional to 141,166.50, 211,749.75 and 42,670.50

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Solution

The fourth proportional to 141,166.50, 211,749.75 and 42,670.50 is: 64,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,166.50 : 211,749.75 = 42,670.50 : x
  2. Step 2: Convert to fraction form
    141,166.50/211,749.75 = 42,670.50/x
  3. Step 3: Cross multiply
    141,166.50x = 211,749.75 × 42,670.50
  4. Step 4: Simplify right side
    141,166.50x = 9,035,467,707.38
  5. Step 5: Solve for x
    x = 9,035,467,707.38/141,166.50
  6. Step 6: Final answer
    x = 64,005.75

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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.