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Finding the Fourth Proportional to 156,096.16, 215,413.23 and 84,476.16

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Solution

The fourth proportional to 156,096.16, 215,413.23 and 84,476.16 is: 116,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,096.16 : 215,413.23 = 84,476.16 : x
  2. Step 2: Convert to fraction form
    156,096.16/215,413.23 = 84,476.16/x
  3. Step 3: Cross multiply
    156,096.16x = 215,413.23 × 84,476.16
  4. Step 4: Simplify right side
    156,096.16x = 18,197,282,483.60
  5. Step 5: Solve for x
    x = 18,197,282,483.60/156,096.16
  6. Step 6: Final answer
    x = 116,577.39

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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.