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Finding the Fourth Proportional to 185,392.35, 255,842.01 and 100,509.48

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Solution

The fourth proportional to 185,392.35, 255,842.01 and 100,509.48 is: 138,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,392.35 : 255,842.01 = 100,509.48 : x
  2. Step 2: Convert to fraction form
    185,392.35/255,842.01 = 100,509.48/x
  3. Step 3: Cross multiply
    185,392.35x = 255,842.01 × 100,509.48
  4. Step 4: Simplify right side
    185,392.35x = 25,714,547,387.25
  5. Step 5: Solve for x
    x = 25,714,547,387.25/185,392.35
  6. Step 6: Final answer
    x = 138,703.39

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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.