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Finding the Fourth Proportional to 228,085.80, 342,128.70 and 134,773.80

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Solution

The fourth proportional to 228,085.80, 342,128.70 and 134,773.80 is: 202,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,085.80 : 342,128.70 = 134,773.80 : x
  2. Step 2: Convert to fraction form
    228,085.80/342,128.70 = 134,773.80/x
  3. Step 3: Cross multiply
    228,085.80x = 342,128.70 × 134,773.80
  4. Step 4: Simplify right side
    228,085.80x = 46,109,984,988.06
  5. Step 5: Solve for x
    x = 46,109,984,988.06/228,085.80
  6. Step 6: Final answer
    x = 202,160.70

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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.