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Finding the Fourth Proportional to 182,782.38, 252,263.16 and 102,214.40

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Solution

The fourth proportional to 182,782.38, 252,263.16 and 102,214.40 is: 141,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,782.38 : 252,263.16 = 102,214.40 : x
  2. Step 2: Convert to fraction form
    182,782.38/252,263.16 = 102,214.40/x
  3. Step 3: Cross multiply
    182,782.38x = 252,263.16 × 102,214.40
  4. Step 4: Simplify right side
    182,782.38x = 25,784,927,541.50
  5. Step 5: Solve for x
    x = 25,784,927,541.50/182,782.38
  6. Step 6: Final answer
    x = 141,069.00

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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.