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Finding the Fourth Proportional to 186,914.52, 257,938.02 and 102,033

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Solution

The fourth proportional to 186,914.52, 257,938.02 and 102,033 is: 140,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,914.52 : 257,938.02 = 102,033 : x
  2. Step 2: Convert to fraction form
    186,914.52/257,938.02 = 102,033/x
  3. Step 3: Cross multiply
    186,914.52x = 257,938.02 × 102,033
  4. Step 4: Simplify right side
    186,914.52x = 26,318,189,994.66
  5. Step 5: Solve for x
    x = 26,318,189,994.66/186,914.52
  6. Step 6: Final answer
    x = 140,803.35

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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.