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Finding the Fourth Proportional to 153,960.54, 230,973.21 and 57,898.32

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Solution

The fourth proportional to 153,960.54, 230,973.21 and 57,898.32 is: 86,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,960.54 : 230,973.21 = 57,898.32 : x
  2. Step 2: Convert to fraction form
    153,960.54/230,973.21 = 57,898.32/x
  3. Step 3: Cross multiply
    153,960.54x = 230,973.21 × 57,898.32
  4. Step 4: Simplify right side
    153,960.54x = 13,372,960,824.01
  5. Step 5: Solve for x
    x = 13,372,960,824.01/153,960.54
  6. Step 6: Final answer
    x = 86,859.66

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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.