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Finding the Fourth Proportional to 255,399.48, 352,420.38 and 146,498.13

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Solution

The fourth proportional to 255,399.48, 352,420.38 and 146,498.13 is: 202,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,399.48 : 352,420.38 = 146,498.13 : x
  2. Step 2: Convert to fraction form
    255,399.48/352,420.38 = 146,498.13/x
  3. Step 3: Cross multiply
    255,399.48x = 352,420.38 × 146,498.13
  4. Step 4: Simplify right side
    255,399.48x = 51,628,926,643.89
  5. Step 5: Solve for x
    x = 51,628,926,643.89/255,399.48
  6. Step 6: Final answer
    x = 202,149.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.