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Finding the Fourth Proportional to 294,703.26, 442,054.88 and 107,714.76

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Solution

The fourth proportional to 294,703.26, 442,054.88 and 107,714.76 is: 161,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,703.26 : 442,054.88 = 107,714.76 : x
  2. Step 2: Convert to fraction form
    294,703.26/442,054.88 = 107,714.76/x
  3. Step 3: Cross multiply
    294,703.26x = 442,054.88 × 107,714.76
  4. Step 4: Simplify right side
    294,703.26x = 47,615,835,306.03
  5. Step 5: Solve for x
    x = 47,615,835,306.03/294,703.26
  6. Step 6: Final answer
    x = 161,572.14

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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.