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Finding the Fourth Proportional to 265,368.80, 366,200.25 and 144,509.15

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Solution

The fourth proportional to 265,368.80, 366,200.25 and 144,509.15 is: 199,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,368.80 : 366,200.25 = 144,509.15 : x
  2. Step 2: Convert to fraction form
    265,368.80/366,200.25 = 144,509.15/x
  3. Step 3: Cross multiply
    265,368.80x = 366,200.25 × 144,509.15
  4. Step 4: Simplify right side
    265,368.80x = 52,919,286,857.29
  5. Step 5: Solve for x
    x = 52,919,286,857.29/265,368.80
  6. Step 6: Final answer
    x = 199,417.89

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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.