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Finding the Fourth Proportional to 265,207.72, 365,988.16 and 144,348.72

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Solution

The fourth proportional to 265,207.72, 365,988.16 and 144,348.72 is: 199,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,207.72 : 365,988.16 = 144,348.72 : x
  2. Step 2: Convert to fraction form
    265,207.72/365,988.16 = 144,348.72/x
  3. Step 3: Cross multiply
    265,207.72x = 365,988.16 × 144,348.72
  4. Step 4: Simplify right side
    265,207.72x = 52,829,922,431.16
  5. Step 5: Solve for x
    x = 52,829,922,431.16/265,207.72
  6. Step 6: Final answer
    x = 199,202.05

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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.