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Finding the Fourth Proportional to 265,565.80, 366,476.07 and 144,708.13

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Solution

The fourth proportional to 265,565.80, 366,476.07 and 144,708.13 is: 199,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,565.80 : 366,476.07 = 144,708.13 : x
  2. Step 2: Convert to fraction form
    265,565.80/366,476.07 = 144,708.13/x
  3. Step 3: Cross multiply
    265,565.80x = 366,476.07 × 144,708.13
  4. Step 4: Simplify right side
    265,565.80x = 53,032,066,779.45
  5. Step 5: Solve for x
    x = 53,032,066,779.45/265,565.80
  6. Step 6: Final answer
    x = 199,694.64

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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.