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Finding the Fourth Proportional to 119,597.82, 179,294.92 and 53,001.64

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Solution

The fourth proportional to 119,597.82, 179,294.92 and 53,001.64 is: 79,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,597.82 : 179,294.92 = 53,001.64 : x
  2. Step 2: Convert to fraction form
    119,597.82/179,294.92 = 53,001.64/x
  3. Step 3: Cross multiply
    119,597.82x = 179,294.92 × 53,001.64
  4. Step 4: Simplify right side
    119,597.82x = 9,502,924,895.28
  5. Step 5: Solve for x
    x = 9,502,924,895.28/119,597.82
  6. Step 6: Final answer
    x = 79,457.34

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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.