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Finding the Fourth Proportional to 257,008.47, 354,832.68 and 165,165.00

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Solution

The fourth proportional to 257,008.47, 354,832.68 and 165,165.00 is: 228,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,008.47 : 354,832.68 = 165,165.00 : x
  2. Step 2: Convert to fraction form
    257,008.47/354,832.68 = 165,165.00/x
  3. Step 3: Cross multiply
    257,008.47x = 354,832.68 × 165,165.00
  4. Step 4: Simplify right side
    257,008.47x = 58,605,937,818.04
  5. Step 5: Solve for x
    x = 58,605,937,818.04/257,008.47
  6. Step 6: Final answer
    x = 228,031.16

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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.