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Finding the Fourth Proportional to 301,757.48, 452,713.10 and 141,802.35

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Solution

The fourth proportional to 301,757.48, 452,713.10 and 141,802.35 is: 212,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,757.48 : 452,713.10 = 141,802.35 : x
  2. Step 2: Convert to fraction form
    301,757.48/452,713.10 = 141,802.35/x
  3. Step 3: Cross multiply
    301,757.48x = 452,713.10 × 141,802.35
  4. Step 4: Simplify right side
    301,757.48x = 64,195,779,846.74
  5. Step 5: Solve for x
    x = 64,195,779,846.74/301,757.48
  6. Step 6: Final answer
    x = 212,739.65

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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.