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Finding the Fourth Proportional to 265,219.83, 366,011.15 and 144,369

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Solution

The fourth proportional to 265,219.83, 366,011.15 and 144,369 is: 199,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,219.83 : 366,011.15 = 144,369 : x
  2. Step 2: Convert to fraction form
    265,219.83/366,011.15 = 144,369/x
  3. Step 3: Cross multiply
    265,219.83x = 366,011.15 × 144,369
  4. Step 4: Simplify right side
    265,219.83x = 52,840,662,992.51
  5. Step 5: Solve for x
    x = 52,840,662,992.51/265,219.83
  6. Step 6: Final answer
    x = 199,233.45

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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.