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Finding the Fourth Proportional to 145,894.05, 218,841.12 and 46,064.34

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Solution

The fourth proportional to 145,894.05, 218,841.12 and 46,064.34 is: 69,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,894.05 : 218,841.12 = 46,064.34 : x
  2. Step 2: Convert to fraction form
    145,894.05/218,841.12 = 46,064.34/x
  3. Step 3: Cross multiply
    145,894.05x = 218,841.12 × 46,064.34
  4. Step 4: Simplify right side
    145,894.05x = 10,080,771,757.66
  5. Step 5: Solve for x
    x = 10,080,771,757.66/145,894.05
  6. Step 6: Final answer
    x = 69,096.52

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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.