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Finding the Fourth Proportional to 255,810.24, 353,241 and 160,480.80

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Solution

The fourth proportional to 255,810.24, 353,241 and 160,480.80 is: 221,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,810.24 : 353,241 = 160,480.80 : x
  2. Step 2: Convert to fraction form
    255,810.24/353,241 = 160,480.80/x
  3. Step 3: Cross multiply
    255,810.24x = 353,241 × 160,480.80
  4. Step 4: Simplify right side
    255,810.24x = 56,688,398,272.80
  5. Step 5: Solve for x
    x = 56,688,398,272.80/255,810.24
  6. Step 6: Final answer
    x = 221,603.32

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1.5x scale

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.