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Finding the Fourth Proportional to 146,708.61, 202,443.87 and 116,566.89

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Solution

The fourth proportional to 146,708.61, 202,443.87 and 116,566.89 is: 160,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,708.61 : 202,443.87 = 116,566.89 : x
  2. Step 2: Convert to fraction form
    146,708.61/202,443.87 = 116,566.89/x
  3. Step 3: Cross multiply
    146,708.61x = 202,443.87 × 116,566.89
  4. Step 4: Simplify right side
    146,708.61x = 23,598,252,325.46
  5. Step 5: Solve for x
    x = 23,598,252,325.46/146,708.61
  6. Step 6: Final answer
    x = 160,851.18

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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.