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Finding the Fourth Proportional to 228,572.42, 342,881.20 and 78,792.98

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Solution

The fourth proportional to 228,572.42, 342,881.20 and 78,792.98 is: 118,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,572.42 : 342,881.20 = 78,792.98 : x
  2. Step 2: Convert to fraction form
    228,572.42/342,881.20 = 78,792.98/x
  3. Step 3: Cross multiply
    228,572.42x = 342,881.20 × 78,792.98
  4. Step 4: Simplify right side
    228,572.42x = 27,016,631,533.98
  5. Step 5: Solve for x
    x = 27,016,631,533.98/228,572.42
  6. Step 6: Final answer
    x = 118,197.25

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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.