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Finding the Fourth Proportional to 183,705.30, 253,495.80 and 103,114.34

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Solution

The fourth proportional to 183,705.30, 253,495.80 and 103,114.34 is: 142,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,705.30 : 253,495.80 = 103,114.34 : x
  2. Step 2: Convert to fraction form
    183,705.30/253,495.80 = 103,114.34/x
  3. Step 3: Cross multiply
    183,705.30x = 253,495.80 × 103,114.34
  4. Step 4: Simplify right side
    183,705.30x = 26,139,052,109.77
  5. Step 5: Solve for x
    x = 26,139,052,109.77/183,705.30
  6. Step 6: Final answer
    x = 142,287.96

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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.