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Finding the Fourth Proportional to 265,205.59, 365,985.24 and 144,346.59

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Solution

The fourth proportional to 265,205.59, 365,985.24 and 144,346.59 is: 199,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,205.59 : 365,985.24 = 144,346.59 : x
  2. Step 2: Convert to fraction form
    265,205.59/365,985.24 = 144,346.59/x
  3. Step 3: Cross multiply
    265,205.59x = 365,985.24 × 144,346.59
  4. Step 4: Simplify right side
    265,205.59x = 52,828,721,384.33
  5. Step 5: Solve for x
    x = 52,828,721,384.33/265,205.59
  6. Step 6: Final answer
    x = 199,199.12

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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.