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Finding the Fourth Proportional to 255,203.68, 382,706.16 and 105,468.16

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Solution

The fourth proportional to 255,203.68, 382,706.16 and 105,468.16 is: 158,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,203.68 : 382,706.16 = 105,468.16 : x
  2. Step 2: Convert to fraction form
    255,203.68/382,706.16 = 105,468.16/x
  3. Step 3: Cross multiply
    255,203.68x = 382,706.16 × 105,468.16
  4. Step 4: Simplify right side
    255,203.68x = 40,363,314,515.87
  5. Step 5: Solve for x
    x = 40,363,314,515.87/255,203.68
  6. Step 6: Final answer
    x = 158,161.18

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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.