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Finding the Fourth Proportional to 228,572.41, 342,881.16 and 78,792.98

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Solution

The fourth proportional to 228,572.41, 342,881.16 and 78,792.98 is: 118,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,572.41 : 342,881.16 = 78,792.98 : x
  2. Step 2: Convert to fraction form
    228,572.41/342,881.16 = 78,792.98/x
  3. Step 3: Cross multiply
    228,572.41x = 342,881.16 × 78,792.98
  4. Step 4: Simplify right side
    228,572.41x = 27,016,628,382.26
  5. Step 5: Solve for x
    x = 27,016,628,382.26/228,572.41
  6. Step 6: Final answer
    x = 118,197.24

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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.