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Finding the Fourth Proportional to 186,526.69, 257,406.86 and 101,643.75

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Solution

The fourth proportional to 186,526.69, 257,406.86 and 101,643.75 is: 140,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,526.69 : 257,406.86 = 101,643.75 : x
  2. Step 2: Convert to fraction form
    186,526.69/257,406.86 = 101,643.75/x
  3. Step 3: Cross multiply
    186,526.69x = 257,406.86 × 101,643.75
  4. Step 4: Simplify right side
    186,526.69x = 26,163,798,780.23
  5. Step 5: Solve for x
    x = 26,163,798,780.23/186,526.69
  6. Step 6: Final answer
    x = 140,268.39

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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.