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Finding the Fourth Proportional to 280,590.63, 387,215.13 and 153,266.19

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Solution

The fourth proportional to 280,590.63, 387,215.13 and 153,266.19 is: 211,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,590.63 : 387,215.13 = 153,266.19 : x
  2. Step 2: Convert to fraction form
    280,590.63/387,215.13 = 153,266.19/x
  3. Step 3: Cross multiply
    280,590.63x = 387,215.13 × 153,266.19
  4. Step 4: Simplify right side
    280,590.63x = 59,346,987,685.45
  5. Step 5: Solve for x
    x = 59,346,987,685.45/280,590.63
  6. Step 6: Final answer
    x = 211,507.38

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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.