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Finding the Fourth Proportional to 146,013.29, 201,541.43 and 85,597.01

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Solution

The fourth proportional to 146,013.29, 201,541.43 and 85,597.01 is: 118,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,013.29 : 201,541.43 = 85,597.01 : x
  2. Step 2: Convert to fraction form
    146,013.29/201,541.43 = 85,597.01/x
  3. Step 3: Cross multiply
    146,013.29x = 201,541.43 × 85,597.01
  4. Step 4: Simplify right side
    146,013.29x = 17,251,343,799.12
  5. Step 5: Solve for x
    x = 17,251,343,799.12/146,013.29
  6. Step 6: Final answer
    x = 118,149.13

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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.