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Finding the Fourth Proportional to 101,300.76, 152,046.45 and 51,416.64

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Solution

The fourth proportional to 101,300.76, 152,046.45 and 51,416.64 is: 77,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,300.76 : 152,046.45 = 51,416.64 : x
  2. Step 2: Convert to fraction form
    101,300.76/152,046.45 = 51,416.64/x
  3. Step 3: Cross multiply
    101,300.76x = 152,046.45 × 51,416.64
  4. Step 4: Simplify right side
    101,300.76x = 7,817,717,582.93
  5. Step 5: Solve for x
    x = 7,817,717,582.93/101,300.76
  6. Step 6: Final answer
    x = 77,173.34

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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.