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Finding the Fourth Proportional to 364,042.97, 546,027.54 and 97,768.89

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Solution

The fourth proportional to 364,042.97, 546,027.54 and 97,768.89 is: 146,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,042.97 : 546,027.54 = 97,768.89 : x
  2. Step 2: Convert to fraction form
    364,042.97/546,027.54 = 97,768.89/x
  3. Step 3: Cross multiply
    364,042.97x = 546,027.54 × 97,768.89
  4. Step 4: Simplify right side
    364,042.97x = 53,384,506,495.23
  5. Step 5: Solve for x
    x = 53,384,506,495.23/364,042.97
  6. Step 6: Final answer
    x = 146,643.42

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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.