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Finding the Fourth Proportional to 255,051.66, 382,623.93 and 84,283.14

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Solution

The fourth proportional to 255,051.66, 382,623.93 and 84,283.14 is: 126,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,051.66 : 382,623.93 = 84,283.14 : x
  2. Step 2: Convert to fraction form
    255,051.66/382,623.93 = 84,283.14/x
  3. Step 3: Cross multiply
    255,051.66x = 382,623.93 × 84,283.14
  4. Step 4: Simplify right side
    255,051.66x = 32,248,746,259.54
  5. Step 5: Solve for x
    x = 32,248,746,259.54/255,051.66
  6. Step 6: Final answer
    x = 126,440.06

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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.