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Finding the Fourth Proportional to 186,533.10, 257,415.96 and 101,650.14

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Solution

The fourth proportional to 186,533.10, 257,415.96 and 101,650.14 is: 140,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,533.10 : 257,415.96 = 101,650.14 : x
  2. Step 2: Convert to fraction form
    186,533.10/257,415.96 = 101,650.14/x
  3. Step 3: Cross multiply
    186,533.10x = 257,415.96 × 101,650.14
  4. Step 4: Simplify right side
    186,533.10x = 26,166,368,372.23
  5. Step 5: Solve for x
    x = 26,166,368,372.23/186,533.10
  6. Step 6: Final answer
    x = 140,277.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.