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Finding the Fourth Proportional to 145,883.60, 218,825.40 and 46,113.87

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Solution

The fourth proportional to 145,883.60, 218,825.40 and 46,113.87 is: 69,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,883.60 : 218,825.40 = 46,113.87 : x
  2. Step 2: Convert to fraction form
    145,883.60/218,825.40 = 46,113.87/x
  3. Step 3: Cross multiply
    145,883.60x = 218,825.40 × 46,113.87
  4. Step 4: Simplify right side
    145,883.60x = 10,090,886,048.30
  5. Step 5: Solve for x
    x = 10,090,886,048.30/145,883.60
  6. Step 6: Final answer
    x = 69,170.81

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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.