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Finding the Fourth Proportional to 265,090.13, 365,821.54 and 157,657.80

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Solution

The fourth proportional to 265,090.13, 365,821.54 and 157,657.80 is: 217,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,090.13 : 365,821.54 = 157,657.80 : x
  2. Step 2: Convert to fraction form
    265,090.13/365,821.54 = 157,657.80/x
  3. Step 3: Cross multiply
    265,090.13x = 365,821.54 × 157,657.80
  4. Step 4: Simplify right side
    265,090.13x = 57,674,618,794.87
  5. Step 5: Solve for x
    x = 57,674,618,794.87/265,090.13
  6. Step 6: Final answer
    x = 217,566.08

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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.