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Finding the Fourth Proportional to 255,292.48, 382,953.12 and 77,805.28

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Solution

The fourth proportional to 255,292.48, 382,953.12 and 77,805.28 is: 116,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,292.48 : 382,953.12 = 77,805.28 : x
  2. Step 2: Convert to fraction form
    255,292.48/382,953.12 = 77,805.28/x
  3. Step 3: Cross multiply
    255,292.48x = 382,953.12 × 77,805.28
  4. Step 4: Simplify right side
    255,292.48x = 29,795,772,424.68
  5. Step 5: Solve for x
    x = 29,795,772,424.68/255,292.48
  6. Step 6: Final answer
    x = 116,712.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.