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Finding the Fourth Proportional to 114,957.12, 158,639.12 and 64,656.16

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Solution

The fourth proportional to 114,957.12, 158,639.12 and 64,656.16 is: 89,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,957.12 : 158,639.12 = 64,656.16 : x
  2. Step 2: Convert to fraction form
    114,957.12/158,639.12 = 64,656.16/x
  3. Step 3: Cross multiply
    114,957.12x = 158,639.12 × 64,656.16
  4. Step 4: Simplify right side
    114,957.12x = 10,256,996,324.98
  5. Step 5: Solve for x
    x = 10,256,996,324.98/114,957.12
  6. Step 6: Final answer
    x = 89,224.54

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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.