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Finding the Fourth Proportional to 241,298.56, 333,000.90 and 145,786.78

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Solution

The fourth proportional to 241,298.56, 333,000.90 and 145,786.78 is: 201,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,298.56 : 333,000.90 = 145,786.78 : x
  2. Step 2: Convert to fraction form
    241,298.56/333,000.90 = 145,786.78/x
  3. Step 3: Cross multiply
    241,298.56x = 333,000.90 × 145,786.78
  4. Step 4: Simplify right side
    241,298.56x = 48,547,128,948.10
  5. Step 5: Solve for x
    x = 48,547,128,948.10/241,298.56
  6. Step 6: Final answer
    x = 201,191.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.