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Finding the Fourth Proportional to 121,566.70, 182,263.65 and 46,657.90

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Solution

The fourth proportional to 121,566.70, 182,263.65 and 46,657.90 is: 69,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,566.70 : 182,263.65 = 46,657.90 : x
  2. Step 2: Convert to fraction form
    121,566.70/182,263.65 = 46,657.90/x
  3. Step 3: Cross multiply
    121,566.70x = 182,263.65 × 46,657.90
  4. Step 4: Simplify right side
    121,566.70x = 8,504,039,155.34
  5. Step 5: Solve for x
    x = 8,504,039,155.34/121,566.70
  6. Step 6: Final answer
    x = 69,953.69

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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.