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Finding the Fourth Proportional to 315,085.40, 472,685.70 and 128,115.80

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Solution

The fourth proportional to 315,085.40, 472,685.70 and 128,115.80 is: 192,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,085.40 : 472,685.70 = 128,115.80 : x
  2. Step 2: Convert to fraction form
    315,085.40/472,685.70 = 128,115.80/x
  3. Step 3: Cross multiply
    315,085.40x = 472,685.70 × 128,115.80
  4. Step 4: Simplify right side
    315,085.40x = 60,558,506,604.06
  5. Step 5: Solve for x
    x = 60,558,506,604.06/315,085.40
  6. Step 6: Final answer
    x = 192,197.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.