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Finding the Fourth Proportional to 159,333.48, 239,041.13 and 47,009.16

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Solution

The fourth proportional to 159,333.48, 239,041.13 and 47,009.16 is: 70,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,333.48 : 239,041.13 = 47,009.16 : x
  2. Step 2: Convert to fraction form
    159,333.48/239,041.13 = 47,009.16/x
  3. Step 3: Cross multiply
    159,333.48x = 239,041.13 × 47,009.16
  4. Step 4: Simplify right side
    159,333.48x = 11,237,122,491.71
  5. Step 5: Solve for x
    x = 11,237,122,491.71/159,333.48
  6. Step 6: Final answer
    x = 70,525.81

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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.