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Finding the Fourth Proportional to 121,201.52, 181,814.72 and 46,384.60

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Solution

The fourth proportional to 121,201.52, 181,814.72 and 46,384.60 is: 69,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,201.52 : 181,814.72 = 46,384.60 : x
  2. Step 2: Convert to fraction form
    121,201.52/181,814.72 = 46,384.60/x
  3. Step 3: Cross multiply
    121,201.52x = 181,814.72 × 46,384.60
  4. Step 4: Simplify right side
    121,201.52x = 8,433,403,061.31
  5. Step 5: Solve for x
    x = 8,433,403,061.31/121,201.52
  6. Step 6: Final answer
    x = 69,581.66

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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.