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Finding the Fourth Proportional to 145,410.24, 218,114.88 and 46,914.24

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Solution

The fourth proportional to 145,410.24, 218,114.88 and 46,914.24 is: 70,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,410.24 : 218,114.88 = 46,914.24 : x
  2. Step 2: Convert to fraction form
    145,410.24/218,114.88 = 46,914.24/x
  3. Step 3: Cross multiply
    145,410.24x = 218,114.88 × 46,914.24
  4. Step 4: Simplify right side
    145,410.24x = 10,232,693,827.89
  5. Step 5: Solve for x
    x = 10,232,693,827.89/145,410.24
  6. Step 6: Final answer
    x = 70,371.21

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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.