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Finding the Fourth Proportional to 153,717.47, 230,583.10 and 47,093.63

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Solution

The fourth proportional to 153,717.47, 230,583.10 and 47,093.63 is: 70,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,717.47 : 230,583.10 = 47,093.63 : x
  2. Step 2: Convert to fraction form
    153,717.47/230,583.10 = 47,093.63/x
  3. Step 3: Cross multiply
    153,717.47x = 230,583.10 × 47,093.63
  4. Step 4: Simplify right side
    153,717.47x = 10,858,994,628.71
  5. Step 5: Solve for x
    x = 10,858,994,628.71/153,717.47
  6. Step 6: Final answer
    x = 70,642.55

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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.