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Finding the Fourth Proportional to 265,205.71, 365,985.41 and 144,346.71

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Solution

The fourth proportional to 265,205.71, 365,985.41 and 144,346.71 is: 199,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,205.71 : 365,985.41 = 144,346.71 : x
  2. Step 2: Convert to fraction form
    265,205.71/365,985.41 = 144,346.71/x
  3. Step 3: Cross multiply
    265,205.71x = 365,985.41 × 144,346.71
  4. Step 4: Simplify right side
    265,205.71x = 52,828,790,492.21
  5. Step 5: Solve for x
    x = 52,828,790,492.21/265,205.71
  6. Step 6: Final answer
    x = 199,199.29

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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.