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Finding the Fourth Proportional to 183,583.98, 253,343.52 and 103,013.10

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Solution

The fourth proportional to 183,583.98, 253,343.52 and 103,013.10 is: 142,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,583.98 : 253,343.52 = 103,013.10 : x
  2. Step 2: Convert to fraction form
    183,583.98/253,343.52 = 103,013.10/x
  3. Step 3: Cross multiply
    183,583.98x = 253,343.52 × 103,013.10
  4. Step 4: Simplify right side
    183,583.98x = 26,097,701,360.11
  5. Step 5: Solve for x
    x = 26,097,701,360.11/183,583.98
  6. Step 6: Final answer
    x = 142,156.75

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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.