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Finding the Fourth Proportional to 255,109.60, 382,664.40 and 161,720.80

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Solution

The fourth proportional to 255,109.60, 382,664.40 and 161,720.80 is: 242,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,109.60 : 382,664.40 = 161,720.80 : x
  2. Step 2: Convert to fraction form
    255,109.60/382,664.40 = 161,720.80/x
  3. Step 3: Cross multiply
    255,109.60x = 382,664.40 × 161,720.80
  4. Step 4: Simplify right side
    255,109.60x = 61,884,792,899.52
  5. Step 5: Solve for x
    x = 61,884,792,899.52/255,109.60
  6. Step 6: Final answer
    x = 242,581.20

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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.